The line with equation $y = frac{1}{3}x + 2$ crosses the $x$-axis at…

Question

The line with equation $y = 	frac{1}{3}x + 2$ crosses the $x$-axis at what $x$-value?

Accepted Answer

A. $-6$

At the $x$-axis, $y = 0$. Set $0 = 	frac{1}{3}x + 2 \Rightarrow 	frac{1}{3}x = -2 \Rightarrow x = -6$.
- Trap D ($2$) gives the $y$-intercept (where $x = 0$), not the $x$-intercept.
- Trap B ($-2$) drops the factor.
- Trap C confuses the slope with the intercept.

Answer

$-2$

Answer

$\dfrac{1}{3}$

Answer

$2$

The line with equation $y = \tfrac{1}{3}x + 2$ crosses the $x$-axis at what $x$-value?