Question

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

Answer 1

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