Answer:
y = 3x + 6
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 the point (2, 12 ) for x and y into the partial equation
12 = 3(2) + c = 6 + c ( subtract 6 from both sides )
6 = c
y = 3x + 6 ← equation of parallel line