Question

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

Answer 1

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

Explanation:

Here we're told that the desired line passes through (h, k): (-2, 4) and that it has a slope of m = 2/5.

Using the point-slope form of the equation of a straight line, we get:

y - k = m(x-h) => y - 4 = (2/5)(x + 2)

Answer 2

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

Explanation:

We are given a point (-2,4)

`(x_1,y_1)=(-2,4)`

Slope = m
`=(2)/(5)`

General equation of point slope form :
`y-y_1=m(x-x_1)`

Substitute the values :

Equation :
`y-4=(2)/(5)(x-(-2))`

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

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

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

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

Hence equation represents a line that passes through (–2, 4) and has a slope 2/5 is
`y=(2)/(5)x+(24)/(5)`