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(1, 0), parallel to y = -4x -5

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Answer:

y = -4x + 4

Explanation:

We need to find equation of the line that is parallel to y = -4x - 5 and that passes through (1,0).

First we need to understand that "parallel lines" have equal slopes. What is the slope of this line?

The general equation of a line is y = mx + b,

where

m is the slope

b is the y-intercept

So, looking at the equation given, we can say the slope is -4, so the parallel line equation will be:

y = -4x + b

To find b, we plug in the point (1,0), where x = 1 and y = 0. Thus we have:

0 = -4(1) + b

0 = -4 + b

b = 4

Hence, final equation is:

y = -4x + 4

User Eliran Malka
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