Answer:
[tex]y=-\frac{1}{4} x-6[/tex]
Step-by-step explanation:
Slope-Intercept Form
[tex]y=mx+b[/tex]
y: range
m: slope
x: domain
b: y-intercept
We can see that the line intersects at [tex](0,-6)[/tex], which is the y-intercept. We now have:
[tex]y=mx-6[/tex]
To find the slope, we need to start at the y-intercept. We need to find another nice point we can use. There is a nice point at [tex](4,-7)[/tex]. Start at the y-intercept, go down one unit, and go right four units. By doing that, you just found your slope.
[tex]y=-\frac{1}{4} x-6[/tex]
We know it is negative because as the x values become greater, the y values become less.
