x-Intercepts and y-Intercepts

Question 1

Find the x and y intercepts of the equation 2x - 3y = -6.

Solution

To find the x-intercept, set y = 0 and solve for x.

 

 2x - 3( 0 ) = -6
 2x - 0 = -6
 2x = -6
 x = -6/2
 x = -3

  

To find the y-intercept, set x = 0 and solve for y.

 

 2( 0 ) - 3y = -6
 0 - 3y = -6
 -3y = -6
 y = -6/(-3)
 y = 2

  

Therefore, the x-intercept is ( -3, 0 ) and the y-intercept
is ( 0, 2 ).

The graph of the line looks like this:

Graph Solution 1

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