Question

Find the equation of the line with the given slope that passes through the given point. Write the

equation of the line in point slope form:
m = -2 and (-5, -2)

Answer 1

y=-2x-12

Explanation:

y-y1=m(x-x1)

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

y+2=-2(x+5)

y=-2x-10-2

y=-2x-12

Answer 2

`y+2=-2(x+5)`

Explanation:

Pre-Solving

We are given that a line has a slope (m) of -2 and passes through the point (-5,-2).

We want to write the equation of this line in point-slope form.

Point-slope form is given as
`y-y_1=m(x-x_1)` where m is the slope and
`(x_1,y_1)` is a point.

Solving

Since we are given both the slope and the point, we can plug those values into the equation.

Starting with the slope, we can replace m with -2.

`y-y_1=-2(x-x_1)`

Now, substitute -5 as
`x_1` and -2 as
`y_1`.

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

This can be simplified to become:

`y+2=-2(x+5)`