Find the equation for the line that passes through the points ( 5 , − 8 ) and ( − 3 , 1 ) .

Answer 1

slope = (1- - 8)/(-3 -5) = 9/-8 = -9/8

y=mx +b

y=-9x/8 + b

plug in either point to solve for b

-8 = -9(5)/8 + b

b = -8 + 45/8 = (45-64)/8 = -19/8

y=-9x/8 - 19/8 or

8y =-9x --19 or

9x + 8y =-19 is the equation through the two given points

9(5) +8(-8)= 45-64 = -19

9(-3) + 8(1) = -27 + 8 =-19