Answer:
x = -1
Step-by-step explanation:
1) First, find the slope of the line by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:
[tex]m = \frac{(-5)-(6)}{(-1)-(-1)} \\m = \frac{-5-6}{-1+1}\\m =\frac{-11}{0}[/tex]
The result we got was [tex]-\frac{11}{0}[/tex], but we can't divide by zero. This means that the slope of the line must be undefined instead.
2) All vertical lines have a slope that is undefined. So, this line must be vertical.
All vertical lines are represented by the equation x = a single number. That number represents the x-value of all the points the vertical line intersects. So, take the x-value of the given points (in this case, -1) and put it into that equation. So, the equation of the line must be x = -1.
