Answer:
y= -3.5x +10
Step-by-step explanation:
The first thing to do in this equation is solve for m, the slope of the line.
Because we are given that the y-intercept is 10, we know that the graph intercepts at the point (0,10).
We are also given the point (5,-7.5).
Using the two points we can solve for the slope!
To solve for the slope use this formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
(-7.5 -10) / (5 -0)
= -3.5
So our slope, m = -3.5
The other missing value is b, but is very easy to find.
In this example, b is equal to the y-intercept, so b=10.
Now we can plug in the values we found into the original equation
y =mx+b
y= -3.5x +10
