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

Question

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

Answer 1

All parallel lines have the same slope.  Given y=-2x -2, the parallel line is:

      y =-2x + b       and we need point (4,5) to solve for b.

    5 = -2(4) + b

    5 = -8 + b

    13 = b

The equation of the parallel line is:     y = -2x + 13

Answer 2

Hi Lauryn,

 

Recall that parallel lines have the same slope.

 

You are given the equation of a line

y = -2x-2

In this equation the slope is -2.

 

To write an equation of a line given a point and a slope we use the following equation.

y-y₁ = m(x-x₁)

where m=slope and (x₁,y₁) is the given point, in this case (4,5)

 

Filling in the information we have

y-5 = (-2)(x-4)

 

Let's solve for y and produce an equation of a line in the slope intercept form which is the form of the equation for the line CD stated in the problem

y-5 = -2x+8

y = -2x+13