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 = .

Question

asked Sep 15, 2019 213k views

1 Answer

Major Productions · Answer 1 · 2019-09-19T02:55:01+0000

The formula of a slope:

m=(y_2-y_1)/(x_2-x_1)

We have the points A(-6, 6) and B(12, 3). Substitute:

m=(3-6)/(12-(-6))=(-3)/(18)=-(3:3)/(18:3)=-(1)/(6)

Therefore we have
y=-(1)/(6)x+b .

Put the coordinates of the point B to the equation:

3=-(1)/(6)(12)+b

3=-2+b add 2 to both sides

$5=b\to b=5$

Answer:

$m=-(1)/(6)\\\\b=5$