Question

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

Answer 1

SOLUTION

The equation of the line given is

$y=3x-2$

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

Hence we have

$\begin{gathered} y=3x-2 \\ 0=3x-2 \\ 2=3x \\ x=\frac{2}{3} \end{gathered}$

Hence the x-intercept is

$(\frac{2}{3},0)$

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

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