Question

What is the equation of a line, in general form, with a slope of -2 and a yintercept of 8?
x+2y-8=0
2x+y-8 = 0
2x-y+ 8 = 0​

Answer 1

Answer:

2x + y - 8 = 0

Step-by-step 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

$2x+y-8=0$