Question

A line passes through the points (
–
5,
–
8) and (3,6). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

First, find the slope of the line:

m = (6 - (-8)) / (3 - (-5))
m = (6 + 8) / (3 + 5)
m = 14 / 8
m = 7/4

Next, use the point-slope form to find the equation of the line:
y - y1 = m(x - x1)
y - 6 = 7/4(x - 3)

Now, rearrange the equation into slope-intercept form:
y - 6 = 7/4x - 21/4
y = 7/4x - 21/4 + 24/4
y = 7/4x + 3/4

Therefore, the equation of the line passing through the points (-5,-8) and (3,6) in slope-intercept form is y = 7/4x + 3/4.