Answer:
y = - 3x + 18
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 )
given the line with equation
y = - 3x + 4 ← in slope- intercept form
with slope m = - 3
• Parallel lines have equal slopes, then
y = - 3x + c ← is the partial equation of the parallel line
to find c, substitute (4, 6 ) for x and y in the partial equation
6 = - 3(4) + c = - 12 + c ( add 12 to both sides )
18 = c
y = - 3x + 18 ← equation of parallel line
