Question

Determine the slope, m, and y-intercept, b, of a line that passes through the points (–2, 12) and (4, –15).

Answer 1

m = -9/2 ; b = 3

Explanation:

(y-12)/(-15-12) = (x-(-2)/(4-(-2)

(y-12)/ -27 = (x+2)(4+2)

(y-12)/-27 = (x+2)/6

(y -12) / -27 * -54 = (x+2)/6 * -54

2y - 24 = -9x - 18

2y = -9x + 24 - 18

2y = -9x + 6

y = -9/2 x + 6/2

y = -9/2 x + 3