Question

fri, jan 16
which describes the slope of the line in the graph?
a zero
b positive
c negative
d undefined

Explanation:

Step1: Recall slope formula

The slope of a line is calculated by the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify points on vertical line

For a vertical line, the $x$-coordinates of all points are the same. Let's take two points on the vertical line, say $(a, y_1)$ and $(a, y_2)$ (where $a$ is a constant, and $y_1
eq y_2$).

Step3: Apply slope formula

Substitute into the slope formula: $m=\frac{y_2 - y_1}{a - a}=\frac{y_2 - y_1}{0}$. Division by zero is undefined. So the slope of a vertical line is undefined.

Answer:

The slope of the vertical line is undefined (corresponding to the option that says "undefined", likely option C if the options are A. 0, B. Positive, C. Undefined, D. Negative).