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 = [tex]\frac{4}{7}[/tex] x - 3 is in this form
with slope m = [tex]\frac{4}{7}[/tex]
• Parallel lines have equal slopes, hence
y = [tex]\frac{4}{7}[/tex] x + c ← is the partial equation
To find c substitute (14, 4) into the partial equation
4 = 8 + c ⇒ c = 4 - 8 = - 4
y = [tex]\frac{4}{7}[/tex] x - 4 ← equation of parallel line
