jonathan6464
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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

Respuesta :

Answer:

B. 2x + y -8 = 0

Step-by-step explanation:

2x + y -8 = 0

2x - 8 = -y

Divide both sides by negative one

-2x + 8 = y

gmany

Answer:

B. 2x + y - 8 = 0

Step-by-step explanation:

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

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

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

[tex]y=-2x+8[/tex]

The general form of an equation of a line:

[tex]Ax+By+C=0[/tex]

Convert:

[tex]y=-2x+8[/tex]              add 2x to both sides

[tex]2x+y=8[/tex]              subtract 8 from both sides

[tex]2x+y-8=0[/tex]

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