What is the x and the Y intercept for Y=2/3x+3

Question

What is the y and the x inter for Y=2/3+3

 

Answer 1

The y-intercept is the place where x=0.  The point is:  (0,y₁).

  So, set x=0

     y = (2/3)0 + 3

     y = 3

     The y-intercept is the point (0,3).

     Sometimes, we just say, "The y-intercept is 3."  For example, the slope-intercept form of the equation of a line is y=mx+b, where m=slope and b is the y-intercept, which is 3.

 

The x-intercept is the place where y=0.  The point is (x₁,0).

   So, set y = 0

       0 = (2/3)x + 3

          -(2/3)x = 3                  [subtract 2/3 from both sides]

             x = -9/2                 [multiply both sides by (-3/2)

        This can be written as:    -4 1/2  or  -4.5

    The x-intercept is the point (-4.5, 0).

 

 

     

Answer 2

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

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