# What is the x intercept of y=−6/5x+6?

What is the x intercept of $y=-\frac{6}{5}x+6$?
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Firetto8w
$y=-\frac{6}{5}x+6$
The x-intercept is the value of x when y is zero.
Substitute 0 for y in the equation.
$0=-\frac{6}{5}x+6$
Subtract 6 from both sides of the equation.
$-6=-\frac{6}{5}x+6-6=$
$-6=-\frac{6}{5}x$
Divide by $-\frac{6}{5}$ on both sides. When dividing by a fraction, multiply times its reciprocal.
$-\overline{){6}^{1}}\left(-\frac{5}{{\overline{)6}}^{1}}\right)=-\frac{{\overline{)6}}^{1}}{{\overline{)5}}^{1}}x\left(-\frac{{\overline{)5}}^{1}}{{\overline{)6}}^{1}}\right)$
5=x
Switch sides.
x=5