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AleksandrR [38]
4 years ago
5

Find an equation for the line that passes through the points (3, -3) and (-3, 6)

Mathematics
1 answer:
Setler [38]4 years ago
4 0

Answer:

y = (3/2)x + 3/2

Step-by-step explanation:

As we move from (-3, 6) to (3, -3), x increases by 6 from -3 to +3 and y decreases by 9 from 6 to -3.  Thus, the slope of the line connecting these two points is m = rise / run = -9/6, or m = -3/2.

Using the slope-intercept equation, y = mx + b, we get

6 = (-3/2)(-3) + b, or b = 6 - 9/2 = b, or b = 3/2, and the desired equation is thus

y = (3/2)x + 3/2

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