Question

The equation of line CD is y = -2x - 2. What is the equation of a line parallel to line CD in slope-intercept form that contains point (4,5)?

Answer 1

y = -2x+13

Explanation:

The slope of the original line is -2 so you take that and plug it in with the points (4,5) in point slope form to get y-5 = -2(x-4), then you simplify to get y-5 = -2x+8 then y = -2x+13

Answer 2

y=-2x+13

Explanation:

Slope-intercept form of a line is y=mx+b where m is slope and b is y-intercept.

The slope of y=-2x-2 is -2 since m=-2.

A line that is parallel to the given line is going to have the same slope.

So we already know the equation we are looking for should be in the form y=-2x+b.

We just to need to find b.

We can use the given point on our line do that.

5=-2(4)+b

5=-8+b

8+5=b

13=b

So the equation is y=-2x+13.