asked 117k views
5 votes
Write an equation of a line that passes through point T(-2,-5) and is parallel to the line y= 5x +7

asked
User Hugues
by
7.2k points

1 Answer

4 votes

Answer:

y = 5x + 5

Explanation:

Parallel lines have the same slope, so the line will also have a slope of 5.

Plug in the slope and given point into y = mx + b, and solve for b:

y = mx + b

-5 = 5(-2) + b

-5 = -10 + b

5 = b

Plug in the slope and b into the equation:

y = 5x + 5

So, the equation is y = 5x + 5

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