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 = – and b =

In summary, m = -1/6 and b = 5

Step-by-step explanation:

As we move from A(–6, 6) to B(12, 3), x increases by 18 and y decreases by 3.  Thus, the slope of Line AB is m = rise / run = -3 / 18, or m = -1/6.

Let's make use of the slope-intercept formula to find the value of b:

y = mx + b  becomes 3 = (-1/6)(12) + b, or

                                   3 = -2 + b

Then b must be 5.

In summary, m = -1/6 and b = 5, and the equation of Line AB is y = (-1/6)x + 5.