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Answer:
The answer to your question is a) y = 1.5x - 6
b) y = -4x + 6.1
c) Point (2.2, -2.7)
Step-by-step explanation:
First line Second line
P (0, -6) Q (1, -4.5) R (0, 6.1) S (1, 2.1)
m = (-4.5 + 6) / (1 - 0) m = (2.1 - 6.1) / (1 - 0)
m = 1.5 / 1 m = -4/1
m = 1.5 m = -4
Line Line
y - y1 = m(x - x1) y - 6.1 = -4(x - 0)
y + 6 = 1.5(x) y - 6.1 = -4x
y = 1.5x - 6 y = -4x + 6.1
Solve the system by equality
1.5x - 6 = -4x + 6.1
1.5x + 4x = 6.1 + 6
5.5x = 12.1
x = 12.1 / 5.5
x = 2.2
Find y
y = 1.5(2.2) - 6
y = 3.3 - 6
y = -2.7
Point (2.2, -2.7)