<PRE><B>Question 120392</B>
{{{y-2=3(x-3)}}} Start with the given equation



{{{0-2=3(x-3)}}} To find the x-intercept, let y=0. So plug in y=0



{{{-2=3(x-3)}}} Combine like terms



{{{-2=3x-9}}} Distribute



{{{-2+9=3x+cross(-9+9)}}} Add 9 to both sides




{{{7=3x}}} Combine like terms



{{{7/3=cross(3/3)x}}} Divide both sides by 3 to isolate x




So our answer is {{{x=7/3}}} which means the x-intercept is *[Tex \LARGE \left(\frac{7}{3},0\right)]</PRE>