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Middle school Math!!!

The second question is multiple choice.

1.) Describe how the graph of y=2x is the same AND different from the graph of y=2x-7. EXPLAIN. ?



2. Use the photo for this question! This is a multiple choice question.

What is the equation for the line below (the photo)

Y = 1x + 2

Y = 2x + 1

Y=2x

Y = 1 -2

Middle school Math!!! The second question is multiple choice. 1.) Describe how the-example-1
User Neelam Verma
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1 Answer

12 votes
12 votes

Answers:

Question 1: The equations share the same slope, but different y-intercepts.

Question 2: Option B (y = 2x + 1)

Explanations:

For Question 1:

Both equations are written in slope intercept form.


y = mx+b\\\\\text{m - slope}\\\text{b - y-intercept}

The equations we have are:


\left \{ {{y=2x} \atop {y=2x-7}} \right.

Both equations share the same slope of 2. However, they have different y-intercepts.

y = 2x can be written as y = 2x + 0.

Usually if you only have the slope in your equation then the y-intercept is the origin, or (0, 0).

The second equation's y-intercept is -7. It takes 'b's place.

For Question 2:

We are given a graph and we need to find a equation.

According to the graph, the line passes at (0, 1). 1 is the y - intercept.

Since y = 2x + 1 is the only option with 1 as the y - intercept, it should be the correct answer.

I'll do the slope as well to verify our answer.

I will use the points (-1, -1) and (1, 3).


m=(3-(-1))/(1-(-1))=(4)/(2) =\boxed{2}

The correct answer should be
y = 2x+1.

Hope this helps you.

User Jinsoo
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2.8k points