Question

Write the equation of the line that passes through the point (-2,7) and is parallel to the line y= -4x+1.

Answer 1

y = -4x - 1

Explanation:

Parallel lines have same slope

y = -4x + 1 {Compare y = mx + b; m ->slope; b - y-intercept}

m = -4 ; (-2 ,7)

y - y1 = m(x - x1)

y - 7 = -4(x - [-2])

y -7 = -4(x + 2)

y -7 =x *(-4) + 2*(-4)

y -7 = -4x - 8

y = -4x - 8 + 7

y = -4x - 1