Answer:
The point-slope equation for a line is:
[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]
Step-by-step explanation:
Given
We know that the point-slope form is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line
substituting the values m = 1/5 and the point (5, -1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]
Thus, the point-slope equation for a line is:
[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]
