Question

1. Tell whether the line containing (-1,-2) and (4,4) and the line containing

Answer 1

Step-by-step explanation:

Two lines are parallel if they have the same slope.

To find the slope of the line that passes through two points, $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$, you can use the following formula:

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

For the first set of points, $(-1, -2)$ and $(4, 4)$, we can find the slope with the following:

$\frac{4 - (-2)}{4 - (1)}$

$\frac{4 + 2}{4 + 1}$

$\frac{6}{5}$

For the second set of points, $(6, 3)$ and $(-1, -3)$, we can find the slope with the following:

$\frac{-3 - 3}{-1 - 6}$

$\frac{-6}{-7}$

$\frac{6}{7}$

Since the two slopes are $\frac{6}{5}$ and $\frac{6}{7}$, the two lines are not parallel.