Find the equation for the line that passes through the points ( − 3 , − 10 ) and ( 3 , − 5 ) . Give your answer in point-slope form. You do not need to simplify.

Answer 1

(-3, -10) and (3, -5) are two points on a line with slope = difference in y coordinates divided by difference in x coordinates = (-5 --10)/(3 --3) = 5/6

= (y+10)/(x+3)

y+10 = (5/6)(x+3)

y = (5/6)x + 5/2 -10

y = (5/6)x - 15/2 slope = 5/6, y intercept = -15/2 = -7.5