Question

Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y = mx + b, then m = -1/6.

What is the value of b?

Answer 1

b = 5

Explanation:

given m = -
`(1)/(6)` , then

y = -
`(1)/(6)` x + b ← is the partial equation

to find b substitute either of the 2 points into the partial equation

using (12, 3 ) , then

3 = -
`(1)/(6)` (12) + b = - 2 + b ( add 2 to both sides )

5 = b