Answer:
y = 4x + 35
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given line with equation
y = 4x - 7 ← in slope- intercept form
with slope m = 4
• Parallel lines have equal slopes , then
y = 4x + c ← is the partial equation
to find c , substitute the point (- 8, 3 ) into the partial equation
3 = 4(- 8) + c = - 32 + c ( add 32 to both sides )
35 = c
y = 4x + 35 ← equation of parallel line