Question

How do you find the slope of a line given the points `(0,4)` and `(3,7)` on the line?

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 gives:

`m = (color(red)(7) - color(blue)(4))/(color(red)(3) - color(blue)(0))`

`m = 3/3 = 1`

The slope is `color(red)(m = 1)`