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What is an equation of the line that is parallel to y=-4x-5 and passes through the point (-2,6)

2 Answers

5 votes

Answer: y = -4x -2

Explanation:

y = mx + b, m=-4 so y = - 4x + b

Now find b

x = - 2

y = 6

6 = -4 * - 2 + b

6 = 8 + b

b = 6 - 8

b = - 2

y = -4x -2

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User Sielu
by
7.4k points
2 votes
The general equation is
y = mx + b

You already know m.
It is - 4

y = - 4x + b
Now all you have to do is find b
x = - 2
y = 6
6 = -4 * - 2 + b
6 = 8 + b
b = 6 - 8
b = - 2
y = -4x -2 is the line you want.

User Benjamin Eckardt
by
8.0k points