Answer:
[tex]y=\frac{7}{2}x+11[/tex]
Step-by-step explanation:
To solve, we need to find the y-intercept (b). In order to find the y-intercept, we can plug in the slope and the (x,y) coordinate pair given to us into the equation to solve for the y-intercept:
y=mx+b
4=(-7/-2)*-2+b
4=14/-2+b
4=-7+b
Add 7 to both sides
b=11
Therefore the equation is:
[tex]y=\frac{7}{2}x+11[/tex] (note that the fraction is positive since the two negatives cancel out)
