Question

Find a Point-Slope equation for a line containing the given point and having the given slope.

(5, -1), m =1/5

Answer 1

The point-slope equation for a line is:

`y-\left(-1\right)=(1)/(5)\left(x-5\right)`

Explanation:

Given

• The point = (5, -1)

• m = 1/5

We know that the point-slope form is

`y-y_1=m\left(x-x_1\right)`

where m is the slope of the line

substituting the values m = 1/5 and the point (5, -1)

`y-y_1=m\left(x-x_1\right)`

`y-\left(-1\right)=(1)/(5)\left(x-5\right)`

Thus, the point-slope equation for a line is:

`y-\left(-1\right)=(1)/(5)\left(x-5\right)`