Answer:
The equation of a line:
The graph of the line is attached below.
Step-by-step explanation:
Given the points
Finding the slope between (3,-4) and (3,-1)
(x₁, y₁) = (3,-4)
(x₂, y₂) = (3, -1)
Using the slope formula
m = y₂-y₁ / x₂-x₁
= -1-(-4)) / 3 - 3
= -1 + 4 / 0
m = ∞
The slope of the line is undefined, then, by definition, the line would be a vertical line.
As the line that passes through the points (3,-4) and (3,-1)
- For a vertical line, the value of x is the same for each and every value of y.
Thus, the equation of a line:
The graph of the line is attached below.
