Question

Find the x - and y-intercepts of the graph of the linear equation 3x - y = 2. The x-intercept is The y-interceptis

Answer 1

• 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:

`3x-y=2`

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

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

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

`\begin{gathered} 3x-y=2 \\ 3(0)-y=2 \\ 0-y=2 \\ y=-2 \end{gathered}`

Hence,

x-intercept: x = 2/3

y-intercept: y = -2