Question

What is the equation of the line that passes through the point (3,4) and has an undefined slope?

Answer 1

Answer:

The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3

Step-by-step explanation:

• The slope of the horizontal line is zero

• The equation of the horizontal line passes through the point (a, b) is y = b

• All the points on the horizontal line have the same y-coordinates

• The slope of the vertical line is undefined

• The equation of the vertical line passes through the point (a, b) is x = a

• All the points on the vertical line have the same x-coordinates

Let us solve the question

∵ The line has an undefined slope

∴ The line is a vertical line

∵ The equation of the vertical line is x = a, where a is the x-coordinate

   of any point on the line

∵ The line passes through the point (3, 4)

∴ a = 3

∴ The equation of the line is x = 3

The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3