Question

what is the equation in slope-intercept form of the line that passes through the points (-4,2) and (12,6)

Answer 1

1) Find the Slope = y2 - y1 / x2 - x1

= 6 - 2 / 12 - -4

= 4/16

= 1/4 This is the slope, m.

2) Now, plug m and one point into: y - y1 = m (x - x1)

y - 6 = 1/4 (x - 12) Distribute the 1/4

y - 6 = 1/4 * x - 3 Solve for y

y = 1/4*x - 3 + 6

y = 1/4*x + 3