Write an equation of the line in slope intercept form that is parallel to 2x-y=4 and goes through the point (-4,-2)

Question

Write an equation of the line in slope intercept form that is parallel to 2x-y=4 and goes through the point (-4,-2)

Answer 1

Greetings Karissa,

Let us start by rewriting the equation to something more familiar, such as y=mx+b . This is also slope-intercept form, where m is the slope and b is the y-intercept.

2x-y= 4

+y +y

2x = 4 +y

-4 -4

2x -4 = y

Now we have our rewritten equation: y = 2x -4

Next we need a parallel slope, which is the same slope as the equation above: m=2

Our parallel equation is now: y=2x+b

We will now use the slope-intercept formula and plug-in the point (-4,-2), which are the x and y coordinates given to find b of the parallel equation.

y = 2x +b

-2 = 2(-4) + b

-2 = -8 + b

+8 +8

6 = b

Next we plug-in the answer for b in our parallel equation: y = 2x+6

Answer: y = 2x + 6