Question

Please help me out! i absoluten don’t get this :(

Answer 1

Option B

Explanation:

Slope of a line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` is given by,

Slope (m) =
`(y_2-y_1)/(x_2-x_1)`

Therefore, slope of the line passing through (-5, -2) and (3, -1) will be,

m =
`(-1+2)/(3+5)`

m =
`(1)/(8)`

Equation of the line passing through (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of the line passing through (3, -1) and slope =
`(1)/(8)` will be,

`y+1=(1)/(8)(x-3)`

`y=(1)/(8)x-(3)/(8)-1`

`y=(1)/(8)x-(11)/(8)`

Option B will be the answer.