Determine the equation of the line that passes through the points (-3, 6) and (1, -4).

Question

(1 mark for finding m, 1 mark for finding b, 1 mark for creating correct equation)

Answer 1

y = mx + b

6 = -3m + b

-4 = m + b

Add 3 times the second equation to the firs to eliminate m.

-6 = 4b --> b = -6/4 = -3/2

Substitute b = -3/2 into the 2nd equations

-4 = m -3/2 --> m = -4 + 3/2 = -8/2 + 3/2 = -5/2

m = -5/2

b = -3/2

y = -(5/2)x -3/2

y(-3) = 15/2 -3/2 =12/2 = 6 checks

y(1) = -5/2 -3/2 = -8/2 = -4 checks