Find the equation of the line parallel to y=4x-10 containing (5,-6)

Y=mx+b, m=slope, b=y intercept

a line that is paralell will have the same slope with a different y intercept

y=4x-10

therefor the new equation is y=4x+b

subsitute

(x, y)

(5,-6)

x=5

y=-6

is on e solution so subsitue

-6=4 (5) + b

-6=20+b

subtract 20

-26=b

the equation si y=4x-26