Question

Using the slope formula, find the slope of the line through the points (0,0) and (5,10). Use pencil and paper. Explain how you can use mental math to find the slope of the line.

A) The slope is 2, and you can use mental math by recognizing that for every 5 units to the right, there are 10 units up.
B) The slope is 0.5, and you can use mental math by dividing the rise (10) by the run (5).
C) The slope is 5, and you can use mental math by dividing the rise (10) by the run (2).
D) The slope is 1, and you can use mental math by recognizing that the line has a 45-degree angle.

Answer 1

The slope of the line through the points (0,0) and (5,10) is 2. Mental math can be used to recognize the relationship between the x and y values, which can help us find the slope.

Step-by-step explanation:

To find the slope of the line through the points (0,0) and (5,10), we can use the slope formula: m = (y2 - y1) / (x2 - x1).

Identify the coordinates of the two given points: (0,0) and (5,10).

Substitute the values into the slope formula: m = (10 - 0) / (5 - 0) = 10/5 = 2.

We can use mental math to find the slope as well.

By recognizing that for every 5 units to the right, there are 10 units up, we can determine that the rise (y-value change) is double the run (x-value change). So, the slope is 2.