Question

Write a equation that is parallel to y = -4x + 5 and passes through the point ( -2, -1 ).

Answer 1

The equation of the line is
`y=-4x-9.`

Explanation:

If we want our line to be parallel to
`y=-4x+2`, then it must have the same slope.

The slope of
`y=-4x+2` is -4, thus the equation of our parallel line is of the form:

`y=-4x+b`

Where
`b` is the y-intercept of the line.

Now we know that the point
`(-2,-1)` lies on the parallel line thus it must be true that:

`-1=-4(-2)+b`

From this equation we get the value of
`b:`

`b=-1+4(-2)=-9`

Thus the equation of our parallel line becomes:

`\boxed{y=-4x-9.}`