slope intercept

Question

through(1,-2) parallel to y =-4x+4

Answer 1

when a linear equation is solved for y, the slope = the coefficient of the x term. In this case slope =-4

any parallel line always has the same slope

so the parallel line is y=-4x + b where b is the y intercept. to calculate b, plug in the point (1,-2)

-2 = -4(1) + b

b = -2+4=2

b=2

y =-4x+ 2 is the parallel line through the given point