Answer:
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
