Find an equation of a line that pass through (4,3) and parallel to y=-4x+1

y = - 4x + 19

Step-by-step explanation:

The line parallel to y = - 4x + 1 would have the same slope of - 4. The coefficient of x will be - 4. We can put this into the equation y = - 4x + a where a is the y-intercept and a ≠ 1. Now solve for a.

y = - 4x + a

plug in 4 for x and 3 for y

3 = - 4 (4) + a

simplify

3 = - 16 + a

+16 both sides

19 = a

a = 19

y = - 4x + 19