I'm not understanding this at all, Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 in slope-intercept form

Hi Hannah,

They gave you a line (y = -x + 6) which has a slope of -1 (the number in front of the x when the equation is in the form of y = mx + b; in other words, the "m").

Another line (the one you are about to find the equation for) is parallel to the above line. That means the line has the SAME slope, -1.

Now, use the formula y - y1 = m(x - x1) to solve for your answer (x1 and y1 come from the point (-4, 2) ):

So, y - 2 = -1(x - -4)

Remember that - -4 is really +4. After you distribute the -1 you get:

y - 2 = -x - 4

+2 +2

add 2 to both sides to get the final answer

y = -x - 2

Bill Fanning

El Paso TX