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Ashraf82

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

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

What is an Undefined Slope?

An undefined slope is an infinite slope. This is the slope of a vertical line. The x values never changes no matter the changes in the y values.

The equation of a line in slope intercept form can be represented as follows:

  • y = mx + b

where

m = slope

b = y-intercept

Since the slope, m is undefined, the expression that has an undefined slope is a vertical line

Therefore,

y = 3

learn more on linear equation: https://brainly.com/question/11185386?referrer=searchResults

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