Question

I could REALLY use some help on this. I just cant seem to get it.(please help me)

Write an equation for the line parallel to the given line that contains C.
C (3, 6)​; y= -2 x + 7

Answer 1

y = - 2x + 12

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - 2x + 7 is in this form with slope m = - 2

Parallel lines have equal slopes, thus

y = - 2x + c is the partial equation.

To find c, substitute (3, 6 ) into the partial equation

6 = - 6 + c ⇒ c = 6 + 6 = 12

y = - 2x + 12 ← equation of parallel line