Question

3. 6x + 7y =7 4. 2x - y = -3

Answer 1

For the first graph

A = (-5, 2)

B = (5, -4)

To calculate the slope we will use the following formula

$\begin{gathered} m=\frac{-4-2}{5-(-5)} \\ m=\frac{-6}{10} \\ m=\frac{-3}{5} \end{gathered}$

The answer would be m = -3/5

For the second graph

A = (-1, -1)

B = (3, 0)

To calculate the slope we will use the following formula

$\begin{gathered} m=\frac{0-(-1)}{3-(-1)} \\ m=\frac{1}{4} \\ \end{gathered}$

The answer would be m = 1/4

For the third graph

In the third graph, we have a vertical slope at point x = 2

In this case the slope would be equal to infinity and the equation of the line would be equal to x = 2

$m=\infty$