Question

Write an equation for the line parallel to the given line that contains C.

C(-1,7): y= 8/9x+8

(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Simplify your answer.)
Y=

Answer 1

y =
`(8)/(9)x+(71)/(9)`

Explanation:

Given equation of a line is,

y =
`(8)/(9)x+8`

If we compare this equation with slope-intercept of a line,

Slope of this line =
`(8)/(9)`

Since slope of all the lines parallel to this line will be equal,

Slope of the parallel line =
`(8)/(9)`

Line passing through (x', y') and slope 'm' is represented by,

y - y' = m(x - x')

Therefore, equation of the line passing through (-1, 7) and having slope
`(8)/(9)` will be,

y - 7 =
`(8)/(9)(x+1)`

y =
`(8)/(9)x+(8)/(9)+7`

y =
`(8)/(9)x+(71)/(9)`