What is the equation of the following line written in general form? (The y-intercept is 7.)

Question

asked Mar 13, 2020 230k views

1 Answer

Indian · Answer 1 · 2020-03-19T11:34:34+0000

Answer:

Explanation:

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

y=mx+b

m - slope

b - y-intercept

Put the given y-intercept b = 7 and the coordinates of the point (-2, 1) to the equation:

1=-2m+7 subtract 7 from both sides

-6=-2m divide both sides by (-2)

$3=m\to m=3$

We have the equation:

y=3x+7

Convert it to the general form
Ax+By+C=0 :

y=3x+7 subtract 3x and 7 from both sides

-3x+y-7=0 change the signs

3x-y+7=0