Question

How do you find the slope of the line through the points (3,7) and (6,10)?

Answer 1

See the entire solution process below:

Explanation:

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 into the formula and calculating gives:

`m = (color(red)(10) - color(blue)(7))/(color(red)(6) - color(blue)(3)) = 3/3 = 1`

The slope of the line is `1`