Question

9

Are the following equations the same line? *
y - 3 = 4(x - 2)
2)
and
and y + 2 = 4(x + 7)
no, because they are not the same in slope - intercept form
it would be impossible to tell
yes, because both equations are the same in slope - intercept form
(5 Points)

Answer 1

Answer: No, because they are not the same in slope - intercept form

Explanation:

First, we will distribute and simplify into slope-intercept form.

Equation 1:

y - 3 = 4(x - 2)

y = 4(x - 2) + 3

y = 4x - 8 + 3

y = 4x - 5

Equation 2:

y + 2 = 4(x + 7)

y = 4(x + 7) - 2

y = 4x + 28 - 2

y = 4x + 26

We see that the answer to this question is "No, because they are not the same in slope - intercept form" as they have different y-intercepts, one being -5 and one being 26.