What is the equation of the line in slope-intercept form that is parallel to the line y=-4x+6 and passes through the line (2, 7)
if two lines are parallel, they have the same slope.
so, our equation for the new line would be
y = -4x + b.
to solve for b, we must plug in the points from the coordinate that was given into the equation, like so:
7 = -4(2) + b
7 = -8 + b
15 = b
so now, our final equation in slope-intercept form is:
y = -4x + 15
hope this helped! please let me know if you are confused about anything i did :)