Answer:
[tex]y = - \frac{1}{4} x - 2[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
First of all to find the equation of the line we must first find the slope.
The slope of the line using points
(0,-2) (8,-4) is
[tex]m = \frac{ - 4 + 2}{8 - 0} = - \frac{2}{8} = - \frac{1}{4} [/tex]
Now using one of the points and the slope we can find the equation of the line.
Equation of the line using point (0 , - 2) and slope - 1/4 is
[tex]y + 2 = - \frac{1}{4} (x - 0) \\ y + 2 = - \frac{1}{4} x[/tex]
We have the final answer as
[tex]y = - \frac{1}{4} x - 2[/tex]
Hope this helps you
