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

Answer 1

slope = (12+4)/(6-2) = 16/4 = 4

y-12 = 4(x-6)

y = 4x -24 + 12

y = 4x -12, where 4 is slope and -12 is the y intercept

or you could have plugged in the other point (2,-4)

y+4 = 4(x-2) = 4x -8

y = 4x -8-4 = 4x -12, the same equation in slope intercept form