Consider the given equation of a line.
y - 2 = 4(x + 1)To help us identify the slope of this line, let's first convert it into slope-intercept form, y= mx+ b, where m is the slope and (0, b) is the y-intercept.
With this, we can more easily identify the slope m and y-intercept b.
y= 4x+ 6
When lines are parallel, they have the same slope. Because of this, we know that all lines that are parallel to the line whose equation is given will have a slope of 4. This corresponds to option J.
