Question

What is the equation of the line, in slope-intercept form, that passes through (4, 2) and (-2, -3)?
5x - 6y - 8 = 0
3y = -2x + 20
y = 5/6x - 4/3

Answer 1

m = y2-y1 / x2-x1
= -3-2 / -2-4
= -5/-6
= 5/6

(4,2)
y2 - y1 = m(x2-x1)
y - 2 = 5/6(x-4)
y - 2 = 5/6x - 20/6
y = 5/6x -20/6 + 2
y = 5/6x -8/6
y = 5/6x -4/3

so last option C.

Answer 2

ok thanks