Write the equation of a line passing through the points (2, -4) and (2, -9). write the equation in slope-intercept form.

1. find our slope: y2 - y1/ x2- x 1

-9 + 4= -5
2 - 2 = 0

m = 0

2. now we need to use our point-slope form to find our y intercept

point-slope form: y - y1 = m(x - x1)

y + 4 = 0(x - 2)

distribute:
y + 4 = 0x

3. get y by itself

y + 4 - 4 = y
0x - 4 = 0x - 4

4. write in slope-intercept form:

y = 0x - 4
OR
y = -4