Given:
The equation is:
[tex]2y=3x-6[/tex]
To find:
The x-intercept and y-intercept of the graph of the given equation.
Solution:
We have,
[tex]2y=3x-6[/tex]
Substitute [tex]y=0[/tex] to find the x-intercept.
[tex]2(0)=3x-6[/tex]
[tex]0+6=3x[/tex]
[tex]\dfrac{6}{3}=x[/tex]
[tex]2=x[/tex]
So, the x-intercept of the graph of the given equation is 2.
Substitute [tex]x=0[/tex] to find the y-intercept.
[tex]2y=3(0)-6[/tex]
[tex]2y=-6[/tex]
[tex]y=\dfrac{-6}{2}[/tex]
[tex]y=-3[/tex]
So, the y-intercept of the graph of the given equation is -3.
Therefore, the x-intercept is 2 and the y-intercept is -3.
