Question

write an equation for the line that is parallel to the given line and passes through the given point. y=2x+4: (3,8)

A. y=2x+2
B. y=2x+6
C. y=-2x+6
D. y=-1/2+2

Answer 1

The form is y = m x + b
m is the slope
b is the y axis intercept, where the line hits the y axis when x = 0
so
the slope here is m = 2
and the line will look like
y = 2 x + b
so it is not C and it is not D
now
what happens when x = 3?
y = 2(3) + b = 6+b
but y better be 8
so b must be 2
so we end up with A
y = 2 x + 2

Answer 2

Thank you!