Given data:
The first coordinate is (-21, -64).
The second coordinat is (-15, -48).
The expression for the equation of the line passing through the given points is,
[tex]\begin{gathered} (y-(-64))=\frac{-48-(-64)}{-15-(-21)}(x-(-21))_{} \\ y+64=\frac{16}{6}(x+21) \\ 3y+192=8x+168 \\ 8x-3y-24=0 \end{gathered}[/tex]Substitute 0 for y to get x intercept.
[tex]\begin{gathered} 8x-3(0)-24=0 \\ 8x=24 \\ x=3 \end{gathered}[/tex]Thus, the x-intercept is (3,0).
