Question

Can you help me please??

Answer 1

y =
`(4)/(5)x+(54)/(5)`

Explanation:

Equation of a line has been given as,

`y=(4)/(5)x+(3)/(5)`

Here, slope of the line =
`(4)/(5)`

y-intercept =
`(3)/(5)`

"If the two lines are parallel, there slopes will be equal"

By this property slope of the parallel line to the given line will be equal.

Therefore, slope 'm' =
`(4)/(5)`

Since, slope intercept form of a line is,

y = mx + b

Therefore, equation of the parallel line will be,

y =
`(4)/(5)x+b`

Since, this line passes through a point (-6, 6),

6 =
`(4)/(5)(-6)+b`

6 =
`-(24)/(5)+b`

b =
`6+(24)/(5)`

b =
`(30+24)/(5)`

b =
`(54)/(5)`

Equation of the parallel line will be,

y =
`(4)/(5)x+(54)/(5)`