Question

How do you graph the line containing the given pair of points and find the slope (1, 5), (-6, -5)?

Answer 1

See a solution process below:

Explanation:

To graph the line going through the two points, we plot the two points and then draw a line through the points:

The slope is `m = 10/7`

We can validate this using the formula for slope. The slope can be found by using the formula: `m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

Where `m` is the slope and (`color(blue)(x_1, y_1)`) and (`color(red)(x_2, y_2)`) are the two points on the line.

Substituting the values from the points in the problem gives:

`m = (color(red)(-5) - color(blue)(5))/(color(red)(-6) - color(blue)(1)) = (-10)/(-7) = 10/7`