Find the equation of the line passing through (4,3) and parallel to the line whose equation is y+2x=m
Accepted Solution
A:
Answer:y = - 2x + 11Step-by-step explanation:The equation of a line in slope- intercept form isy = mx + c ( m is the slope and c the y- intercept )Rearrange y + 2x = m into this form by subtracting 2x from both sidesy = - 2x + m ← in slope- intercept formwith slope m = - 2Parallel lines have equal slope, thusy = - 2x + c ← is the partial equationTo find c substitute (4, 3) into the partial equation3 = - 8 + c ⇒ c = 3 + 8 = 11y = - 2x + 11 ← equation of line