plz plz help Find the equation of a line through (4, -3) that is parallel to the line that passes through these points (-4,7) and (2,4). Write your answer in standard form (Ax + By = C). Show all your work.

Question

plz plz help Find the equation of a line through (4, -3) that is parallel to the line that passes through these points (-4,7) and (2,4).  Write your answer in standard form (Ax + By = C).  Show all your work.

anonymous · Answer

paralell implies the direction is the same, aka the slopes.
from the two points you have you get that slope

then you plug in the slope and the single new point into the line equation. notice it has C unknown (or ax+b=y, b unknown) so solving it gives b and gives the general solution