Question

Write an equation in slope intercept form of the line satisfying the given conditions.The line passes through (3,-7) and is paralleled to the line whose equation is y=4x+2

Answer 1

What's the slope of the line with the equation y=4x+2?

Answer 2

slope 4, y intercept 2

Answer 3

Right, and parallel lines have the same slope. So use that info to get the equation.

you have slope 4 and point (3,-7)

Answer 4

y=4x-7?

Answer 5

Nope.

use y-y1=m(x-x1)

Answer 6

So where would the slope go?

Answer 7

m=slope
(x1,y1) is the point you have

y+7=4(x-3)

now simplify and isolate y