Question

Find the equation of the line through (-4,6) that is parallel to the line y=-5x+2

Answer 1

y=-x+2

Explanation:

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Answer 2

The equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:

`y=-5x-14`

Explanation:

We know that the slope-intercept form is

`y=mx+b`

Where m is the slope and b is the y-intercept

Given the equation

`y=-5x+2`

comparing with the slope-intercept form

slope = m = -5

y-intercept = b = 2

We know that the parallel lines have the same slopes.

so , the slope of the parallel line will be: -5

Thus, the equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:

`y-y_1=m\left(x-x_1\right)`

`y-6 = -5(x-(-4)`

`y-6 = -5 (x+4)`

`y-6 = -5x-20`

`y=-5x+6-20`

`y=-5x-14`