Answer
y=-x+1
Work Step by Step
Slope-intercept form is written as
y=mx+b, where m is the slope and b is the y intercept.
Since m=$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$, and it's given that $x_{1}$=-3, $x_{2}$=2, $y_{1}$=4, and $y_{2}$=-1, we can find m by plugging in the givens into the slope equation.
m=$\frac{-1-4}{2-(-3)}$=$\frac{-5}{5}$=-1.
Now we know the y=(-1)x+b=-x+b, and we can solve for b by plugging in a point, in this case we'll plug in the point (-3,4).
Therefore, 4=-(-3)+b=3+b, and solving for b, b=1.
Therefore, y=-x+1
