Write the point-slope form of the equation of the line described. Through: (-1,4), parallel to y=-5x+2

Answer 1

First, we must realize that the point-slope form is written like this:

y-y₁=m(x-x₁)

where x₁ and y₁ are coordinates of a point on the line whose slope is m. To find m we know that the line is parallel to the line y=-5x+2, so their slopes are the same. The slope of the equation given is -5, therefore, the slope that we need is also -5. The coordinates of the given point are x₁ and y_1. Putting them all together in the point-slope form we get:

y-y₁=m(x-x₁) Point-slope form of an equation

y-4=-5(x-(-1)) substitute

y-4=-5(x+1) Point-slope form of this equation