find the x and y intercepts

Question

Find the x and y-intercepts of the linear function.

 

Linear Function: 3x−2y=6

Answer 1

Find the x and y-intercepts of the linear function 3x−2y=6

The x intercept is the x-coordinate of where the graph of the function crosses the x axis, that is, where y = 0. Substituting that in the original equation makes it 3x-2(0) = 6.

3x = 6

x = 2

The y intercept is the y-coordinate of where the graph of the function crosses the y axis, that is, where x= 0. Substituting that in the original equation makes it 3(0)-2y = 6.

-2y = 6

y = -3

So the x-intercept is 2; the y-intercept is -3.