Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. ​(−7​,−3​); y=−2x+1

Answer 1

y = -2x + 1 is a line with slope =-2. Any parallel line has the same slope

y =-2x + b, substitute the point's coordinates to solve for b

-3 =-2(-7) + b

b =-3-14 = -17

y =-2x -17 is the equation of a parallel line through the given point -17 is the y intercept or (0, -17)

it might help to do a rough sketch of the lines and plot the points