Question

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

Answer 1

Answer:

3x - y + 7 = 0

Step-by-step 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

$3x-y+7=0$