Write the slope-intercept form (y = mx + b) for the linear equation with a slope of 0 and containing the point (-9, -7). Show all work.

Answer 1

y = mx + b

slope is 0 and using (x,y) = (-9,-7) and substituting into the equation:

-7 = 0 * (-9) + b

-7 = b

so equation of line is y = -7

Answer 2

Hi there!

One way we can do this is by first substituting anything we already know into the slope intercept form equation, y= mx + b.

m = slope, thus m = 0

b = y-intercept (we do not yet know this)

Let's plug in m first.

y = mx + b

y = 0x + b. <--- 0x means the term is eliminated!

y = b.

Now, how can we find b? We are given a point (-9, -7) with an x-coordinate of -9, and a y-coordinate of -7.

This line has a slope of 0, as we saw above. This means all points on the line will have the same y-value.

y = -7, so b must = -7.

y = mx + b

y = 0x - 7, or

y = -7