Question

Write in slope-intercept form an equation of the line that passes

through the given points.
14. (-3, - 2), (0, 0)​

Answer 1

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

Explanation:

The line passes through points (-3,-2) and (0,0)

The slope of a line in a cartesian plane = change in y ÷ change in x

For our line, the slope =
`(0 - -2)/(0 - - 3)` =
`(2)/(3)`

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

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

Simplifying this gives; y =
`(2)/(3)`x