Answer:
x=9
Step-by-step explanation:
The Slope is given by the following equation
m= (y2-y1) / (x2-x1)
Where x2=4, x1=x, y2=1, y1=-6, m=1 by requirements of this problem
Developing the equation we have this:
[tex]1=\frac{1-(-6)}{4-x}[/tex]
Which leaves to the following equation
[tex]5=4-x[/tex]
Resulting that x=9
