74.9k views
2 votes
Im not sure if anyone knows how to do this but if u do could u pleaseee help me with this!!!

Im not sure if anyone knows how to do this but if u do could u pleaseee help me with-example-1
User Offirmo
by
4.5k points

1 Answer

1 vote

Answer:

y = -2x - 5

Explanation:

1) Find the slope of the line.

The slope of the original line is the same as the slope of the parallel line.

Slope formula:


m = (y_(2) - y_(1))/(x_(2) - x_(1))

In this case you can choose any 2 set of points on the table.


m = (4 - 2)/(-3 - (-2)) =
(4 - 2)/(-3 + 2) =
(2)/(-1) = -2

So the slope of the line is -2

2) Use the point-slope formula to find the equation of the line.

Point-slope formula:


y - y_(1) = m(x - x_(1))

Now plug in the point (0, -5) and the slope -2 into the equation.

y - (-5) = -2(x - 0)

y + 5 = -2(x - 0)

To solve the equation first apply the distributive property.

y + 5 = -2x + 0

y + 5 = -2x

Next, subtract 5 from sides.

y = -2x - 5

You know have your equation in point-slope form!

User Paola Quintero
by
5.0k points