what is the slope of the line through (-5,2) and (6,7) in the stander (x,y) coordinate plan

Answer 1

To find the slope of the line that passes through the points \((-5, 2)\) and \((6, 7)\), you can use the slope formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

where \((x_1, y_1) = (-5, 2)\) and \((x_2, y_2) = (6, 7)\).

Substituting the coordinates into the formula:

\[ m = \frac{7 - 2}{6 - (-5)} \]

Calculating the differences:

\[ m = \frac{5}{6 + 5} = \frac{5}{11} \]

So, the slope of the line is \(\frac{5}{11}\).