Question

Please help me out with this

Answer 1

y = -3x - 2

Explanation:

Equation of a line passing through
`(x_1,y_1)` and slope m is,

`y-y_1=m(x-x_1)`

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

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

Slope of the line passing through (0, -2) and (1, -5) will be,

Slope =
`(-2+5)/(0-1)`

m = - 3

Therefore, equation of the line passing through (0, -2) and slope = -3 will be,

y + 2 = -3(x - 0)

y + 2 = -3x

y = -3x - 2