Answer:
x = -21.83 or (-21.83, 0)
Step-by-step explanation:
Use the given points to find the slope of the line.
[tex]m=\frac{y2 - y1}{x2 - x1}[/tex]
(-9, -7) (13, -19)
[tex]m=\frac{-19-(-7)}{13 - (-9)} = \frac{-12}{22} = -\frac{6}{11}[/tex]
Use the slope and one of the given points to solve the point-slope formula
[tex]y - y=m(x-x)[/tex]
[tex]y-(-7)=-\frac{6}{11} (x-(-9))[/tex]
[tex]y+7=-\frac{6}{11} x-\frac{54}{11}[/tex]
[tex]y=-\frac{6}{11} x-\frac{131}{11}[/tex]
Since you are looking for the x-intercept, set y=0 and solve for x
[tex]0=-\frac{6}{11}x - \frac{131}{11}[/tex]
[tex]\frac{131}{11} =-\frac{6}{11} x[/tex]
[tex]-21.83 = x[/tex]
