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17 votes
17 votes
Write an equation for the line that goes through (-2,6) and is parallel to the line y=1/2x+9

User BryanWheelock
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1 Answer

21 votes
21 votes

Answer:

y = 1/2x + 7

Explanation:

Parallel lines have the same slope.

Therefore the new equation will have a slope(m) = 1/2

Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"

y = mx + b

6 = 1/2(-2) + b

6 = -1 + b

7 = b

The new equation: y = mx + b

y = 1/2x + 7

User IVO GELOV
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2.6k points