Question

1. (l112) find slope (rate of change) of line n, using the graph above.

a) 1
b) 13
c) 4
d) 3
e) none of the above

1. (l111) select the graph of this equation: $x = - 3$

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Since the graph is not provided, assume a general - case understanding. A horizontal line has slope $m = 0$, a vertical line has an undefined slope. For a non - vertical and non - horizontal line, we use the formula. But without the graph, we can't calculate the slope precisely. However, if we assume a normal non - vertical line, we know that slope values can be various real numbers. But since we have no data, we can't confirm any of the given values a), b), c), d). So for question 20, the answer is e).

Step2: Analyze the equation $x=-3$

The equation $x = a$ (where $a$ is a constant) represents a vertical line passing through the point $(a,0)$. For the equation $x=-3$, it is a vertical line passing through the point $(-3,0)$. Looking at the options for question 21, the graph with a vertical line passing through $(-3,0)$ is option E.

Answer:

1. e) None of the above
2. E. (the graph with a vertical line passing through (-3,0))