Question

Write the line equation for the line passing through the points (8, 3) and (12, -1).

Type the product of the slope and the y-intercept, rounded to the nearest tenth.

• Please provide an explanation •

Answer 1

Line equation is y=-x+11

The product of the slope and the y-intercept is -11

Explanation:

Use the slope formula to find the slope of the equation.

yvalue2 minus yvalue1 /xvalue 2 minus xvalue1

-1-3/12-8=-1

The slope is -1.

Now, use the slope-intercept formula to find the y-intercept

y-3=-1(x-8)

y-3=-x+8

y=11

The equation is y=-x+11

The product of the slope and the y-intercept is -1(11)=-11

Hope this helps.