Answer:
y = 3x - 3
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
g(x) = 3x - 1 ← 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 (4, 9 ) for x and y into the partial equation
9 = 3(4) + c = 12 + c ( subtract 12 from both sides )
- 3 = c
y = 3x - 3 ← equation of parallel line