Q:

# How do you find the slope with two points?

A:

To find the slope of a line, you need the ratio of the change in y to the change in x. Even if there is no equation, you can still derive the slope by comparing two points on the line. After doing this, you can extrapolate the intercepts.

## Keep Learning

1. Determine the two points to be used

These points are written as ordered pairs (x, y). The first number is the x-coordinate, and the second is the y-coordinate. Rearrange them with the largest x-value first, because this makes it easier to calculate the slope.

2. Subtract the y-values and the x-values

For example, assume you have two ordered pairs (2, 5) and (6, 1). You subtract 5 from 1, revealing -4 for the change in y. Subtracting 2 from 6 yields 4 for the change in x.

3. Express the number as a ratio

Slope is the ratio of rise to run, or y to x. Therefore, in the example equation it is -4/4. Simplified, the line represented by the two ordered pairs has a slope of -1. By writing the line's equation in the form of y=mx+b and substituting ordered pairs, it's possible to find the intercepts. Doing this yields the equation as y=-x+7.

Sources:

## Related Questions

• A: The slope and the y-intercept of a line can be found graphically and mathematically. Use the slope equation and the slope intercept equation to find both v... Full Answer >
Filed Under:
• A: Obtain the pitch, or slope angle, of a roof by calculating the ratio of the change in the roof's height to the corresponding horizontal distance. Roof pitc... Full Answer >
Filed Under:
• A: The rate of change, also known as the slope of a line, is a measure of how fast the line changes in the vertical direction compared to the horizontal direc... Full Answer >
Filed Under:
• A: To find a line's equation, identify two of the points through which the line passes, and then use the "x" and "y" coordinates to find the slope of the line... Full Answer >
Filed Under:
PEOPLE SEARCH FOR