Question

What is an equation of the line that is parallel to y=-5x + 6 and passes

through the point (-4, -1)?


*Type the answer from the image*​

Answer 1

Given:

Parallel line y = -5x + 6

Passes through the point (-4, -1)

To find:

The equation of the line passes through the point.

Solution:

Parallel line y = -5x + 6

Slope of this line = -5

If two lines are parallel then their slopes are equal.

Point-slope formula:

`y-y_1=m(x-x_1)`

Here,
`x_1=-1, y_1=-4` and
`m=-5`.

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

`y+4=-5(x+1)`

`y+4=-5x-5`

Subtract 4 on both sides.

`y=-5x-5-4`

`y=-5x-9`

The equation of the line is y = -5x - 9.