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Find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.

User Calummm
by
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1 Answer

3 votes

Answer:

y = -2/3 x - 13/3

Explanation:

y = -2/3 x + 3/2

y = mx + b

m = -2/3

The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.

m = -2/3

y = mx + b

y = -2/3 x + b

Substitute the given point for x and y and solve for b.

-7 = -2/3 (4) + b

-21/3 = -8/3 + b

b = -13/3

Answer: y = -2/3 x - 13/3

User Will Holtz
by
9.0k points

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