Answer:
see explanation
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 )
y = 3x - 2 is in this form with slope m = 3
• Parallel lines have equal slopes
Hence the slope of the parallel line = 3
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = 3 and (a, b) = (- 3, - 14), hence
y + 14 = 3(x + 3) ← in point- slope form
Distribute and simplify
y + 14 = 3x + 9 ( subtract 14 from both sides )
y = 3x - 5 ← in slope- intercept form
