Question

A line passes through the points (
–
3,
–
18) and (3,18). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

First, let's find the slope of the line using the formula:

m = (y2 - y1) / (x2 - x1)
m = (18 - (-18)) / (3 - (-3))
m = (18 + 18) / (3 + 3)
m = 36 / 6
m = 6

Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation in slope-intercept form.

y - y1 = m(x - x1)

Using the point (3, 18),
y - 18 = 6(x - 3)

y - 18 = 6x - 18

Adding 18 to both sides,
y = 6x

Therefore, the equation of the line passing through the points (-3, -18) and (3, 18) in slope-intercept form is y = 6x.