Question

7/12/20 - Aleks 1 / 13

Find the slope of the line whose two points are (0,20) and (1,80).

Answer 1

The slope of the line passing through the points (0,20) and (1,80) is 60.

Step-by-step explanation:

To find the slope (m) of a line given two points (x1, y1) and (x2, y2), you can use the formula:

`\[ m = \frac{{y2 - y1}}{{x2 - x1}} \]`

In this case, the points are (0,20) and (1,80). Substituting the values into the formula:

`\[ m = \frac{{80 - 20}}{{1 - 0}} \]`

`\[ m = \frac{{60}}{{1}} \]`

`\[ m = 60 \]`

Therefore, the slope of the line is 60.

This means that for every unit increase in the x-coordinate, the corresponding y-coordinate increases by 60 units. In practical terms, if you move one unit to the right on the line, the y-value increases by 60. This slope can also be interpreted as the rate of change between the two variables.