Respuesta :

• x-intercept can be found by letting y equal to 0.

,

• y-intercept can be found by letting x equal to 0.

X intercept is the x-axis cutting point of the graph.

Y intercept is the y-axis cutting point of the graph.

The equation given is:

[tex]3x-y=2[/tex]

First, finding x intercept (let y = 0):

[tex]\begin{gathered} 3x-y=2 \\ 3x-0=2 \\ 3x=2 \\ x=\frac{2}{3} \end{gathered}[/tex]

Second, find y intercept (let x = 0):

[tex]\begin{gathered} 3x-y=2 \\ 3(0)-y=2 \\ 0-y=2 \\ y=-2 \end{gathered}[/tex]

Hence,

x-intercept: x = 2/3

y-intercept: y = -2