2. - Algebra 2

Question

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

Step-by-Step Solution

Answer

Sometime the slope of a line is real number

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.

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

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

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.