Questions: Are the two lines parallel, perpendicular, or neither? Choose one · 1 point

Solution Steps

To determine if the lines are parallel, perpendicular, or neither, we first need to identify the slopes of the two lines. The slope of a line in the form $y = mx + b$ is given by $m$.

From the graph, the blue line passes through the points $(0, 5)$ and $(5, 10)$. The slope $m$ is calculated as: $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 5}{5 - 0} = \frac{5}{5} = 1$$

From the graph, the red line passes through the points $(0, -5)$ and $(5, 0)$. The slope $m$ is calculated as: $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-5)}{5 - 0} = \frac{5}{5} = 1$$

Since both lines have the same slope $m = 1$, they are parallel.

Final Answer