Question

How do you write an equation of the line with x-intercept 3 and y-intercept -2?

Answer 1

An x-intercept of 3 `rarr (3,0)` is a point on the line
A y-intercept of (-2) `rarr (0,-2)` is a point on the line

The slope of the line is given by
`m= (Delta y)/(Delta x) = (0- (-2))/(3-0) = 2/3`

The slope-intercept form of the equation of a line is
`y = mx + b`
where `m` is the slope and `b` is the y-intercept.

Therefore the equation of this line can be written as
`y = 2/3x-2`

If you want to "clear" the fraction this could be re-written as
`3y = 2x-6`