The equation represents a straight line in the -plane
MATHEMATICS · Multi-part · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane
Problem
The equation 4y=3x+8 represents a straight line in the xy-plane. Use this information to answer the following.
(i) Find the slope of the given line.
(ii) Obtain the equation of the line passing through the point (−2,5) that is parallel to the given line. Express your answer in the form y=mx+c.
(iii) State the y-intercept of the line obtained in part (ii).