with this table we can calculate the slipe of the line that is:
[tex]\begin{gathered} m=\frac{18-24}{-74-(-94)} \\ m=\frac{-6}{20}=-\frac{3}{10} \end{gathered}[/tex]now with the equation of the line and a pait of coordinates we can find the y-intercept so:
[tex]\begin{gathered} 24=-\frac{3}{10}(-94)+b \\ 24-28.2=b \\ -4.2=b \end{gathered}[/tex]SO the equation of the line is:
[tex]y=-\frac{3}{10}x-4.2[/tex]So to find the x-intercept we replace y = 0 so:
[tex]\begin{gathered} \frac{3}{10}x=-4.2 \\ x=\frac{-4.2\cdot10}{3} \\ x=-14 \end{gathered}[/tex]So the order pair is:
[tex](-14,0)[/tex]