What is the value of y so that the line passing through
the two points has the given slope. What is the value
of y? (3,5),(1,y),m = -2
We are given two points, P1 and P2.
P1 is (x1, y1) ... (3, 5)
P2 is (x2, y2) .... (1, y)
The formula for the slope m is (y2 - y1) / (x2 - x1)
-2 = (y - 5) / (1 - 3)
-2 = (y - 5) / -2
(-2) * (-2) = ((y - 5) / -2) * (-2)
4 = y - 5
9 = y
The general equation is y = mx + b; use the values
to find b.... b = y - mx
Using P1
b = 5 - (-2 * 3) = 5 - (-6) = 5 + 6 = 11
Using P2
b = 9 - (-2 * 1) = 9 - (-2) = 9 + 2 = 11
The missing value of y is 9.