Question

What is the equation of a line, in general form, with a slope of -2 and a y-intercept of 8?

A.x + 2y - 8 = 0
B.2x + y - 8 = 0
C.2x - y + 8 = 0

Answer 1

B. 2x + y - 8 = 0

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

We have the slope m = -2 and the y-intercept b = 8. Substitute:

`y=-2x+8`

The general form of an equation of a line:

`Ax+By+C=0`

Convert:

`y=-2x+8` add 2x to both sides

`2x+y=8` subtract 8 from both sides

`2x+y-8=0`

Answer 2

B. 2x + y -8 = 0

Explanation:

2x + y -8 = 0

2x - 8 = -y

Divide both sides by negative one

-2x + 8 = y