Answer:
The line equation is:
- [tex]y=-\frac{1}{4}x+9[/tex]
Step-by-step explanation:
Given
- The point = (4, 8)
- m = -1/4
We know that point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
substituting the values m = -1/4 and the point (4, 8)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-8=\frac{-1}{4}\left(x-4\right)[/tex]
Add 8 to both sides
[tex]y-8+8=\frac{-1}{4}\left(x-4\right)+8[/tex]
[tex]y=-\frac{1}{4}x+9[/tex]
Thus, the line equation is:
- [tex]y=-\frac{1}{4}x+9[/tex]
