Find the equation of the line passing through (4,3) and parallel to the line whose equation is y+2x=m

y = - 2x + 11

Step-by-step explanation:

The equation of a line in slope - intercept form is

y = mx + c (m is the slope and c the y - intercept)

Rearrange y + 2x = m into this form by subtracting 2x from both sides

y = - 2x + m ← in slope - intercept form

with slope m = - 2

Parallel lines have equal slope, thus

y = - 2x + c ← is the partial equation

To find c substitute (4, 3) into the partial equation

3 = - 8 + c ⇒ c = 3 + 8 = 11

y = - 2x + 11 ← equation of line