Given the equation of the line:
[tex]-6x+5y=30[/tex]The x-intercept is the point where the line crosses the x-axis, at this point the value of y is zero. To determine the x-intercept, replace the equation of the kine with y=0 and solve for x:
[tex]\begin{gathered} -6x+5y=30 \\ -6x+5\cdot0=30 \\ -6x=30 \end{gathered}[/tex]Divide both sides by -6
[tex]\begin{gathered} \frac{-6x}{-6}=\frac{30}{-6} \\ x=-5 \end{gathered}[/tex]The x-intercept of the line is (-5,0)
