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aliina [53]
4 years ago
5

Write an equation of the line in slope-intercept form f(0)=2,f(2)=4

Mathematics
1 answer:
emmainna [20.7K]4 years ago
3 0

Answer: y=2x-2

Step-by-step explanation: First you plot those two points and make a line, then find the rest below. Slope formula is y=mx+b. M is the slope, rise over run, which is 2, and b is the y-intercept, where it meets the y-axis, which is -2.

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1. What is the slope of a line that is perpendicular to the x-axis ​
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Answer:

The slope of a line that is perpendicular to the x-axis ​is undefined.

Step-by-step explanation:

We know that the x-axis is a horizontal line.

  • We also know a line that is perpendicular to the x-axis ​is basically a vertical line.
  • As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.

Therefore, the slope of a line that is perpendicular to the x-axis ​is undefined.

For example, the slope between (1, 2) and (1, 4) is:

Using the slope formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 = [4 - 2] / [1 - 1]

                  = 2 / 0

                  = ∞

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