Write an equation for a line that passes through the pair of points.
(3, 4), (3, -7)
Note that both points have the same x-coordinate, so you can't solve for the slope: you get 10/0.
This is a vertical line, with equation x = 3.
The slope is (change in y) / (change in x) but the change in x is 0, so this would be an infinite slope, meaning a vertical line.
So the equation is of the form x = constant. Look at the points to see what constant the x value is.
x = 3 is the line equation
Comments
Note that both points have the same x-coordinate, so you can't solve for the slope: you get 10/0.
This is a vertical line, with equation x = 3.
The slope is (change in y) / (change in x) but the change in x is 0, so this would be an infinite slope, meaning a vertical line.
So the equation is of the form x = constant. Look at the points to see what constant the x value is.
x = 3 is the line equation