What is the slope of the line through (1, 2) and (4, 8)?
How to find the slope of the line through (1, 2) and (4, 8): draw the rise and run as a right triangle, then slope = rise ÷ run = 6 ÷ 3 = 2.
Step-by-step explanation
- To find the slope of a line passing through two points, we first plot the points (1, 2) and (4, 8) on a coordinate plane.
- The slope is defined as the 'rise' over the 'run'. We can visualize this as a right triangle connecting the two points.
- The 'run' is the horizontal change, which is the difference in x-coordinates: 4 minus 1 equals 3.
- The 'rise' is the vertical change, which is the difference in y-coordinates: 8 minus 2 equals 6.
- Finally, we calculate the slope m by dividing the rise by the run. 6 divided by 3 gives us a slope of 2.
This is a real answer from Math Motion AI: the explanation and the animation were made by the site for this question.
More algebra examples
- How do I solve x² − 5x + 6 = 0?
- How do I solve the system y = 2x + 1 and y = −x + 4?
- Solve 2x + 3 = 11 step by step.