Answer:
y=-5x+1
Step-by-step explanation:
First lets identify what slope intercept form looks like:
y=mx+b
m=slope
b=y-intercept
the y-intercept would be at (0,1)
choose 2 points from the graph and lets find the slope.
The formula for slope is:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex]
The points we will be using will be (1,-4) and (2,-9)
so -9 will be [tex]y_{2}[/tex] and -4 is [tex]y_{1}[/tex]
2 is [tex]x_{2\\}[/tex] and 1 is [tex]x_{1}[/tex]
set up the equation.
[tex]\frac{-9-(-4)}{2-1}[/tex]
[tex]\frac{-5}{1}[/tex]
m = -5
So the slope is -5 and the y-intercept is 1
[To find the y-intercept all you have to do is find what y is counting by. In this is would be -5. Go backwards one on the table so x is 0 and take away -5 and it will give you 1 which would be the intercept]
So the equation will be
y=-5x+1
Now when you want to solve it you plug in the x and y values for the table but it doesn't ask you to do that,
I've included a picture so you have a visual.
If you need further assistance, don't be afraid to reach out. Hope this helps!
