How do you write an equation with X-intercept of 3 and y-intercept of 2?
By definition the x-intercept of 3 is the point (3, 0) and
By definition the y-intercept of 2 is the point (0, 2).
Because we have two points we can use the point-slope formula to determine the equation. In order to use the point-slope formula we must first determine the slope of the line.
The slope can be found by using the formula:
Substituting the two points from the problem gives the slope as:
Now that we have the slope we can use the point-slope formula to determine the equation of the line:
The point-slope formula states:
We can substitute the slope we calculated and one of the points to give: