House of wolvesthe equation of a line is y = –4x + 1. what is the equation of the line that is parallel to the first line and passes through (–2, –1)?

To solve this problem, we need to understand that two lines that are parallel have the same slopes. The slope of the first line is -4 because it is in slope-intercept form, y = mx + b, where the variable m represents the slope and the variable b represents the y-intercept. Next, we can construct our equation now that we know the slope and we can substitute in our point for their values in the point-slope format, as follows:

y = m(x-h) + k, where the point (h,k) is on the given line

y = -4(x + 2) - 1

Next, we should simplify by distributing the -4 through the parentheses and combining like terms after this multiplication.

y = -4x - 8 - 1

y = -4x - 9

We know that this equation is correct because it creates a true statement if we plug in our point and it has a slope of -4.

Therefore, your answer is y = -4x - 9.

Hope this helps!

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step-by-step explanation: