Answer:
x = - 1
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~~~~
Assume,
x = [tex]x_{1}[/tex]
1 = [tex]y_{1}[/tex]
- 3 = [tex]x_{2}[/tex]
7 = [tex]y_{2}[/tex]
m = - 3
then
[tex]\frac{7-1}{-3-x}[/tex] = - 3
- 3 - x = 6 ÷ ( - 3 )
- 3 + 2 = x
x = - 1