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find the equation of the line that passes through (-2, 4) and is parallel to y=5x -3

Sagot :

AtsuiMizu
Answer: y = 5x + 14

If two lines are parallel, they have same slope, but different y-intercepts.
Given (-2, 4) and y = 5x - 3
We can set up the equation keeping the slope, but because the parallel line will be different than -3, we must find for b.
y = 5x+b
Plug in (-2, 4)
x = -2
y = 4

4 = 5(-2) + b
4 = -10 + b
14 = b

Rewrite:
y = 5x + 14
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