Answer:
y = 3x + 4
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 + 7 ← in slope- intercept form
with slope m = 3
• Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
to find c, substitute (2, 10 ) for x and y in the partial equation
10 = 3(2) + c = 6 + c ( subtract 6 from both sides )
4 = c
y = 3x + 4 ← equation of parallel line
