Answer:
A. y - 10 = 6(x - 2)
y - 20 = -2(x + 3)
Step-by-step explanation:
The first equation given the following points (-2, -14) and (2, 10):
Slope (m) = ∆y/∆x = (10 -(-14)) / (2 - (-2)) = 24/4= 6
Using the highlighted point and the slope, we can write an equation for this by substituting (a, b) = (2, 10) and m = 6 into y - b = m(x - a)
Thus:
y - 10 = 6(x - 2)
The second equation given the following points (-3, 20) and (5, 4):
Slope (m) = ∆y/∆x = (4 - 20) / (5 - (-3)) = -16/8 = -2
Using the highlighted point and the slope, we can write an equation for this by substituting (a, b) = (-3, 20) and m = -2 into y - b = m(x - a)
Thus:
y - 20 = -2(x - (-3))
y - 20 = -2(x + 3)
