Question

Can somebody please help me ? I gotta turned this in 10 minutes .

Answer 1

y =
`-(1)/(3)x-(2)/(3)`

Explanation:

Let the equation of the line is,

y = mx + b

m = Slope of the line

b = y-intercept

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

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

Since, the given line passes through two points (-5, 1) and (4, -2)

Slope of the line 'm' =
`(1+2)/(-5-4)` =
`-(1)/(3)`

Equation of the line will be,

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

Since, this line passes through (4, -2),

-2 =
`-(4)/(3)+b`

b =
`(4)/(3)-2`

b =
`-(2)/(3)`

Therefore, equation of the line will be,

y =
`-(1)/(3)x-(2)/(3)`