A line is represented by the equation y = 3x - 7. Which of the following statements about the line is TRUE?

A. The y-intercept is 7.

B. The "rise over run" is equivalent to
1/3

.

C. The point (1, 4) lies on the line.

D. The line has a positive slope

Answers

Answer 1

Answer: The "rise over run" is equivalent to 1/3

Step-by-step explanation:

Since the m variable in the equation is 3, the line is going to be wider, there for it will go up 1 and 3 to the right with each point on the line, therefore the answer is B.

Answer 2

The requried slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b.

Here,
A.

The y-intercept is -7.
The equation y = 3x - 7 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Therefore, the y-intercept of this line is -7, not 7, as given in option A.

B.
The "rise over run" is equivalent to 3. Option B is not correct.

C.
point (1, 4) lies on the line.

To check whether the point (1, 4) lies on the line, we can substitute x = 1 and y = 4 into the equation y = 3x - 7 and see if the equation is true:

y = 3x - 7

4 = 3(1) - 7

4 = -4

Since the equation is not true, the point (1, 4) does not lie on the line, and option C is false.

D.
The line has a positive slope.

As we determined earlier, the slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.

Learn more about equations here:

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Related Questions

Estimate.

509 × 36
help plz!

Answers

Estimated it might be about 18,300?

Answer: ≈20,400

Explanation:

Theoretically, you'd bring 509 up to 510 and 36 up to 40.

510 x 40= 20,400

Sorry if I'm wrong ^^

Given the function f(x) = 5x -1, what is the value of f(4)?
O 1
019
O4
-1
N

Answers

The answer is 19....

3/8 of the seventh grade students were taking advanced math at the beginning of the year, but seven dropped out by the end of the year. if there were 149 students taking advanced math at the end of the year, how many total 7th grade students are there?

Answers

Answer:

416 I believe.

Step-by-step explanation:

add 7 to 149

divide 156 by 3 to get 1/8 of total.

Get 52 and then multiply by 8 to get 416

What property is 6m•1=6m

Answers

Answer:

This equation is a tautology (Something which is always true)

Step-by-step explanation:

Dereck spends $3 on breakfast and 5.50 on luch every school day.How much does he spend on breakfast and lunch in a school week (monday-friday)​

Answers

Answer:

$42.50

Step-by-step explanation:

3 + 5.5 per day = 8.5

8.5 x 5 days per week = $42.50 per week (mon-fri)

7. The function A(t) = Pe" is used to calculate the balance. A, of an
investment in which the interest is compounded continuously at an
annual rate, r, over t years. Find the inverse of the formula. Describe
what information the inverse gives.

Answers

Answer:

lol i don’t have an answer but hey averi, i’m struggling too.

Step-by-step explanation:

Please help I need one more answer to pass

Answers

Answer:

20 cm

Step-by-step explanation:

12^2 = 144

16 ^ 2 = 256

256+144 = 400

sqrt(400) = 20

hope this helps!

Answer:

The hypotenuse is 20 cm :)

Step-by-step explanation:

Using a^2 + b^2 = c^2

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

c = sqrt(400)

c = 20 cm

Can someone help me out please txt 100 points no problem

Answers

Answer:

trigonometry: a^2+b^2=c^2

7= slant

4= half of base (8/2)

[tex] {7}^{2} + {4 }^{2} = \sqrt{65} [/tex]

[tex] \sqrt{65} = 8.06[/tex]

he is 6.5 so yeah he can fit

I have to finish this by midnight and I forgot how to do this

Answers

it’s option c (0,4) and (3.-2) u can figure this out by just plugging in both points into the equation and if both points are true then that’s the answer

Choose the possible correct names for the highlighted angle. (There are
more than one correct answers) ****picture

Answers

C and D you follow the corners

Put in order from least to greatest {-6, 8, 10, 15}

Answers

Answer:

-6 , 8 , 10 , 15

Negatives are less than positives so they're first

Work out the mean of these numbers:
root 27, root 48, root 75
give your answer in the form a root 3 where a is an integer

Answers

Answer:

4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify the radicals

[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]

[tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

[tex]\sqrt{75}[/tex] = [tex]\sqrt{25(3)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

Now mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

mean = [tex]\frac{3\sqrt{3}+4\sqrt{3}+5\sqrt{3} }{3}[/tex] = [tex]\frac{12\sqrt{3} }{3}[/tex] = 4[tex]\sqrt{3}[/tex]

Two complementary angles are in the ratio 7 :11. Find the angles

Answers

Answer:

7x+11x=90

18x=90

x=5

one angle = 35 degrees

another angle = 55 degrees

Step-by-step explanation:

4 times a number equal 5 less than a number times 8.

Answers

Answer:

4n=8n-5

Step-by-step explanation:

Answer:

Let the number be x

As per statement, 7 less than 4 times a number equals 13

4x - 7 = 13

4x = 13 + 7

4x = 20

x = 20 / 4

x = 5

The number is 5

Answer the number is 5

Let us check the correctness of answer by following the statement viz 7 less than 4 times a number equals 13

4 × 5 - 7 = 13

20 - 7 = 13

13 = 13

Means answer is correct

Step-by-step explanation:

PLS HELPPP

Are the triangles similar? If they are, identify the similarity ratio.

Answers

Divide the corresponding sides

3/6 = 0.5

5/4 = 1.25

6/8 = 0.75

We get different results, so the sides are not in the same ratio or proportion.

The triangles are not similar.

You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation 10x+12y=300 models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.

Answers

Question:

a. Graph the equation.

b. Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order.

Answer:

See attachment for graph

12 long-sleeved shirts

Step-by-step explanation:

Given

[tex]10x + 12y = 300[/tex]

Plotting the graph:

Set x = 0

[tex]10(0) + 12y = 300[/tex]

[tex]12y = 300[/tex]

[tex]y = 300/12[/tex] --- divide through by 12

[tex]y = 25[/tex]

Set x = 0

[tex]10x + 12(0) = 300[/tex]

[tex]10x = 300[/tex]

[tex]x = 300/10[/tex] --- divide through by 10

[tex]x = 30[/tex]

So, the graph will be plotted using: (0, 25) and (30, 0)

See attachment for graph

Determine y when x = 12

[tex]10x + 12y = 300[/tex]

[tex]10(12) + 12y = 300[/tex]

[tex]120 +12y = 300[/tex]

[tex]12y = 300 - 120[/tex] --- collect like terms

[tex]12y = 180[/tex]

[tex]y = 180/12[/tex] -- solve for y

[tex]y = 15[/tex]

Why is 3+(-5) equal to -2

Answers

Answer:

c

Step-by-step explanation:

Here's an example: 3/5 divided by 7/8.

   3/5

  _____

   7/8

Let's do it WRONG, to see why that's bad. Here's our example, multiplied by something that ISN'T equal to one:

   3/5      1       3/5      3/5

  _____ * _____ = _______ = ______ = 3/5

   7/8     8/7     56/56      1

Multiplying 7/8 by 8/7 turns our denominator into 1, which seems helpful. But it leaves us with the same numerator we started with. Can this be right? Is 3/5 divided by 7/8 equal to 3/5 divided by one, so that 7/8 = 1? Oops, that has to be wrong.

For comparison, here's the RIGHT way:

   3/5     8/7     24/35     24/35

  _____ * _____ = _______ = _______ = 24/35

   7/8     8/7     56/56       1

In this case, what we multiplied by, 8/7 divided by 8/7, is equal to one, because anything divided by itself is equal to one. But 1 over 8/7, which we used up above in the first example, is NOT equal to one, which means that if we use 1 over 8/7, we change our question. We may get an answer, but it won't be the right one.

Find the m∠IHQ if m∠IHG is 176° and m∠QHG is 130°

Answers

is there a picture for this because i need to know if it’s a supplementary angle or circle , etc

-14/2 is = to what number my brain is saying no to math today.

Answers

Answer:

the answer would have to be -7


Plzzz help! I’ll give you the Brainliest.

If a sailing ship traveled 100 miles (160 kilometres) a day about how many days would it take to travel between London and New York City? Explain.

Distance: __________
Travel Time: __________

Hint: find the distance between London and New York City first.

Plz tell me the distance and travel time it took.

Thank you!

Answers

Answer: distance: 160 kilometres

travel time:100

Step-by-step explanation:

Answer:

94 days 9400 distance

Step-by-step explanation:

Lcm of 6 and 28 pls help

Answers

Answer:

84

Step-by-step explanation:

It’s 84
Because 28•3=84
And 6•14=84

which of the following shows the correct meter reading consumed? a.2419KW b.2491KW c.2548KW d.2584KW pls answer thank you​

Answers

Answer:

c.2548KW

Step-by-step explanation:

The correct reading of the meter is;

First meter,---2000

Second meter----500

Third meter ------40

Fourth meter -------8

Total 2000+500+40+8 = 2548 kilo watts.

The answer option A,B, and D are not correct because the answers have incorrect meter reading values.

Select all the zeros of the function f(x)=(x+10)(x−5)(x+1).

– 10


– 5


– 1


0


1


5


10

Answers

Answer:

-10, -1, 5

To find the zeros of a function, you have to set each factor to zero in separate equations, and then solve for x.

x+10=0

Subtract 10 from each side

x=-10

x-5=0

Add 5 to both sides

x=5

x+1=0

Subtract 1 from both sides

x=-1

23) 2,747
What’s the quotient

Answers

Answer:

119.434783

Step-by-step explanation:

Long division.

Tell how many solutions each equation would have: one solution, no solutions, or infinitely many solutions. Give a justification for your answer.

3x+6+1=2x+8+2x

Answers

Answer:

One solution

Step-by-step explanation:

X is equal to -1 meaning you can only plug in -1 for this equation to be true and not any other number

Every equation would have one solution.

Sara reduced the time it takes her to run a mile from 8
minutes to 6 minutes. What was Sara's percent decrease
in the time it takes her to run a mile?
A. 14%
B. 25%
C. 33%
D. 75%

Answers

Answer:

25%

Step-by-step explanation:

Explain how do you know when an equation is completely solved.

Answers

When u can no further simplify it or when u can solve it back by redoing the steps backwards

1 over 7 of 2 over 5 is equal to​

Answers

Answer:

2/35

Step-by-step explanation:

1 over 7 is 1/7, of means times, and 2 over 5 is 2/5, so 1/7*2/5

Hope that this helps!

Consider the diagram below.

1) The measure of 2) The sum of m

Answers

Answer:

<a=61 m<c and m<b=90

Step-by-step explanation:

Camila is competing in a 26-mile race. She runs at a constant speed of 12.5 mi/h. Write an equation in slope intercept form to represent
the distance Camila has left to run after x hours. How many hours will it take her to finish the race?

Answers

Answer:

2.08 or 2

Step-by-step explanation:

26 = 12.5x

y=mx+b

it will approximately take  2 hours, but to be exact, 2.08

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