What is the slope of the line that passes through the points 4,1 and 0,-19 Write your answer in simplest form.

Answer 1

The slope of a line through two given points, \((x_1, y_1)\) and \((x_2, y_2)\), can be found using the formula:

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

Given the points (4,1) and (0,-19), where \((x_1, y_1) = (4, 1)\) and \((x_2, y_2) = (0, -19)\), the slope \(m\) can be calculated as:

\[m = \frac{{-19 - 1}}{{0 - 4}}\]
\[m = \frac{{-20}}{{-4}}\]
\[m = 5\]

So, the slope of the line that passes through the points (4,1) and (0,-19) is 5, in simplest form.