Answer the following questions about straight lines:
MATHEMATICS · Multi-part · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane
Problem
Answer the following questions about straight lines:
(i) Explain, using their general algebraic representations, how the point–slope form and the slope–intercept form of a straight line differ from each other.
(ii) A non-vertical line has slope m and passes through the fixed point (x1,y1). Derive the equation of this line in point–slope form.
(iii) The line 2x+3y−6=0 is parallel to a required line that passes through P(4,−1). Write the required line first in point–slope form and then convert it to general form.