Question

How do I solve this equation?

through: (-2, 4), slope = -7/-2

the formula is: y=mx+b

Answer 1

`y=(7)/(2)x+11`

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:

`y=(7)/(2)x+11` (note that the fraction is positive since the two negatives cancel out)