What is the equation of a line that is parallel to...?

Question

y=2x-8 and passes through point (0, -3)

and how do i find it?

Answer 1

y = 2x - 8

The slope of this line is 2. The slope of any parallel to this line is also 2.

(0, -3) is a point on the parallel line. Use the point to calculate the y-intercept:

b = y-mx

= -3 - 2·0

= -3

The equation of the parallel line is

y = 2x - 3

Answer 2

both have the same slope:

m=2 from y=2x-8

from (0,-3)

dy/dx = m=2

y-(-3)/(x-0)=2

(y+3)/x=2

answer: y=2x-3

Answer 3

(0,-3) is your y-intercept and parallel lines have the same slope as the line they are parallel to

so its y=2x-3

Answer 4

y=2x-3