Question

Graph the line that passes through the points (3,-4) and (3,-1) and determine

the equation of the line.

Answer 1

The equation of a line:

• x = 3

The graph of the line is attached below.

Explanation:

Given the points

• (3, -4)

• (3, -1)

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:

• x = 3

The graph of the line is attached below.