Question

Write an equation for the line passing through the points with the coordinates (-1, -2) and (2, 0).​

Answer 1

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

Explanation:

The line passes through points (-1,-2) and (2,0)

The slope of the line is;

Slope = change in y ÷ change in x

Slope =
`(0--2)/(2--1)` =
`(2)/(3)`

Taking another point (x,y) on the line;

Slope =
`(y - 0)/(x-2)` =
`(2)/(3)`

y =
`(2)/(3)`x -
`(4)/(3)`

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