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Chapter 2: 2. (page 71)

Decide whether the statement below is sometimes, always or never true. Explain.The slope of a line is a real number.

Short Answer

Expert verified

Sometime the slope of a line is real number

Step by step solution

01

Step-1 –Determining the slope of line

Slope, $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Where $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ are points on the line.

02

Step-2 –Showing slope of a line is real number

Let us consider a line whose equation is $y = 2 x + 3$ having slope = $2$ which is a real number

03

Step-3 –Showing slope of line is not real number

If a line is a vertical line, the slope is undefined.

So, sometimes the slope of a line is real number.

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Most popular questions from this chapter

Find the x-intercept and the y-intercept of the graph of each equation. Then graph of the equation.

$2 x - 6 y = 12$

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