Answer:
a
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 5 ← is 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 (3, 4 ) into the partial equation
4 = 3(3) + c = 9 + c ( subtract 9 from both sides )
- 5 = c
y = 3x - 5 ← equation in slope- intercept form
subtract y from both sides
0 = 3x - y - 5 , that is
3x - y - 5 = 0 ← equation of parallel line