Question

What are the x-intercept and y-intercept of the line y = 3x-2?.

Answer 1

The equation of the line given is

`y=3x-2`

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

Hence we have

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

Hence the x-intercept is

`((2)/(3),0)`

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