Question

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Answer 1

y =
`(6)/(5)` x - 8

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m =
`(6)/(5)` , then

y =
`(6)/(5)` x + c ← is the partial equation

To find c substitute (5, - 2) into the partial equation

- 2 = 6 + c ⇒ c = - 2 - 6 = - 8

y =
`(6)/(5)` x - 8 ← equation of line

Answer 2

`y=(6)/(5)x-8`

Explanation:

we know the slope (or m in y=mx+b) is 6/5 we just need to solve for b

we will do this by plugging in the required coordinates

-2=(6/5)*5+b

-2=6+b

-8=b

put it all together