Question

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

Answer 1

y = -3x + 2

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`