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!