Question

5. Graph the equation using the x and y intercepts.
3x-2y=9

Answer 1

Given:

The equation of the line is $3x-2y=9$

We need to graph the equation using the x and y intercepts.

x - intercept:

The x - intercept of the equation is the value of x when y = 0.

Hence, substituting y = 0 in the equation, we get;

$3x-2(0)=9$

          $3x=9$

            $x=3$

Thus, the value of the x - intercept is 3.

The coordinates of the x - intercept are (3,0)

y - intercept:

The y - intercept of the equation is the value of y when x = 0.

Hence, substituting x = 0 in the equation, we get;

$3(0)-2y=9$

       $-2y=9$

            $y=-4.5$

Thus, the value of the y - intercept is -4.5

The coordinates of the y - intercept is (0,-4.5)

Now, plotting the coordinates of x and y intercepts and joining the coordinates, we get, the graph of the equation.

The image of the graph is attached below: