Question

Line g has an equation of y=2/9x + 6. Parallel to line g is line h, which passes through the point (3,2). What is the equation of line h?

Answer 1

`y=(2)/(9)x+1(1)/(3)`

Explanation:

`y=(2)/(9)x+6`

slope:
`(2)/(9)`

y-intercept:
`6`

Parallel line
`h` will have the same slope as line
`g` but a different y-intercept. To find the equation of line
`h`, we input the slope of
`(2)/(9)` and the point
`(3,2)` into the point-slope formula:

`y-y_1=m(x-x_1)`

`y-2=(2)/(9)(x-3)`

`y-2=(2)/(9)x-(2)/(3)`

`y=(2)/(9)x+1(1)/(3)`

See the attached graph for a visual representation of both equations.