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

1 Answer
Alan P.
Apr 7, 2015

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

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