Find the slope of a line that passes through (-10,-1) and (5,-4). (1 point)

Answer 1

The slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by the formula \(m = \frac{{y_2 - y_1}}{{x_2 - x_1}}\).

In this case, the coordinates of the two points are (-10,-1) and (5,-4):

\(x_1 = -10\), \(y_1 = -1\)
\(x_2 = 5\), \(y_2 = -4\)

Substituting these values into the formula:

\(m = \frac{{-4 - (-1)}}{{5 - (-10)}} = \frac{{-4 + 1}}{{5 + 10}} = \frac{{-3}}{{15}}\)

Therefore, the slope of the line is \(\frac{{-3}}{{15}}\).