Question

write an equation for a line parallel to $y = -4x + 6$ and passes through the point $(-13, 63)$. step 1: identify the slope of the new equation. $m = \square$

Explanation:

Step1: Recall slope of parallel lines

Parallel lines have equal slopes. The given line is \( y = -4x + 6 \), which is in slope - intercept form \( y=mx + b \) (where \( m \) is the slope and \( b \) is the y - intercept). For the line \( y=-4x + 6 \), the slope \( m \) of the given line is - 4. Since the new line is parallel to the given line, the slope of the new line (\( m \)) is also - 4.

Answer:

-4