Question

Identify an equation in slope Intercept form for the line parallel to y= -3x+7 that passes through (2,-4)

Answer 1

Answer:

y = -3x + 2

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 equation of a line:

$y=-3x+7\to m=-3,\ b=7$

Parallel lines have the same slope. Therefore we have the equation:

$y=-3x+b$

Put the coordinates of the given point (2, -4) to the equation:

$-4=-3(2)+b$

$-4=-6+b$               add 6 to both sides

$2=b\to b=2$

Finally:

$y=-3x+2$