Question

Find a point-slope form for the line with slope 1/5 and passing through the point (-8, - 9).

The equation of the line in point-slope form is ______?​

Answer 1

y=1/5(x+8)-9

Explanation:

Point Slope Formula: y=m(x-x1)+y

y=1/5(x+8)-9

Answer 2

`y+9=(1)/(5) (x+8)`

Explanation:

Pre-Solving

We are given that a line has a slope (m) of 1/5, and passes through the point (-8, -9).

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.

Pre-Solving

As 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 1/5.

`y-y_1=(1)/(5) (x-x_1)`

Now, substitute -8 as
`x_1` and -9 as
`y_1`. We get:

`y--9=(1)/(5) (x--8)`

This can be simplified to:

`y+9=(1)/(5) (x+8)`