Question

line g is a straight line that passes through the origin. select any two points shown on line g. the line neither increases nor decreases from left to right. therefore, the slope is zero. enter the slope of line g.

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify points on line

Since the line passes through the origin $(0,0)$ and another point on the vertical line, say $(0,y)$ (where $y
eq0$). Let $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(0,y)$.

Step3: Calculate slope

Substitute into the slope formula: $m = \frac{y - 0}{0 - 0}=\frac{y}{0}$, which is undefined. But we are given that the line neither increases nor decreases from left - to - right. A horizontal line has a slope of 0. In this case, since the line is vertical (a special case where the description of no increase or decrease is not typical in the sense of slope for non - vertical lines), but if we go by the fact that for a line that is flat in the non - vertical sense (constant y - values for different x - values which is not the case here but based on the given description), we consider the slope formula conceptually. The correct way is to note that a line that has no rise (change in y) for any run (change in x) has slope 0.

Answer:

0