Question

Write an equation that is parallel to y equals -4x + 5 and passes through the point -2, -1

Answer 1

Parallel lines have the same slope.

The given line:

`y=-4x+5`

has a slope of -4.

Then, a line parallel to it has also a slope of -4.

Slope (m): -4

Point: (-2,-1)

Equation in point slope form:

`\begin{gathered} y-y_1=m(x-x_1) \\ \\ y-(-1)=-4(x-(-2)) \\ y+1=-4(x+2) \end{gathered}`

Then, the equation of the line is:

`y+1=-4(x+2)`