Answer:
5x - y = - 4
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x - 12 ← is in slope- intercept form
with slope m = 5
• Parallel lines have equal slopes , then
y = 5x + c ← is the partial equation
to find c substitute (- 2, - 6 ) into the partial equation
- 6 = - 10 + c ⇒ c = - 6 + 10 = 4
y = 5x + 4 ← in slope- intercept form ( subtract 5x from both sides )
- 5x + y = 4 ( multiply through by - 1 )
5x - y = - 4 ← in standard form