Question

Which equation represents a line that passes through (–2, 4) and has a slope of 2 Over 5

Answer 1

`y-4=(2)/(5)(x+2)`

`y=(2)/(5)x+(24)/(5)`

`2x-5y=-24`

Explanation:

we know that

The equation of a line in point slope form is equal to

`y-y1=m(x-x1)`

In this problem we have

`m=(2)/(5)`

`(-2,4)`

substitute

`y-4=(2)/(5)(x+2)` ----> equation in point slope form

Convert to slope intercept form

`y=(2)/(5)x+(4)/(5)+4`

`y=(2)/(5)x+(24)/(5)` ----> equation in slope intercept form

Convert to standard form

`y=(2)/(5)x+(24)/(5)`

Multiply by 5 both sides to remove the fraction

`5y=2x+24`

`2x-5y=-24` -----> equation i standard form