## How do you write an equation for 2 points?

Steps to find the equation of a line from two points:

- Find the slope using the slope formula.
- Use the slope and one of the points to solve for the y-intercept (b).
- Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

**What is the equation for the slope between 2 points?**

We’ve shown that m=y2−y1x2−x1 m = y 2 − y 1 x 2 − x 1 is really another version of m=riserun m = rise run . We can use this formula to find the slope of a line when we have two points on the line….example.

Name | Ordered Pair | Coordinates |
---|---|---|

Point 2 | (−2,6) | x2=−2y2=6 |

**How do you find the equation of a line with two coordinates?**

The straight line through two points will have an equation in the form y = m x + c . We can find the value of , the gradient of the line, by forming a right-angled triangle using the coordinates of the two points.

### How do I find the average rate of change?

The average rate of change formula is used to find the slope of a graphed function. To find the average rate of change, divide the change in y-values by the change in x-values. Finding the average rate of change is particularly useful for determining changes in measurable values like average speed or average velocity.

**How do you write an equation of the line with a slope of 2 and y-intercept of 9?**

To answer your question, its equation would be y = -2x -9. Recall that slope intercept form is y=mx+b. In this form, m=slope, b=y-intercept. From the question we know that we have a slope of -2 (or m=-2) and a y-intercept of -9 (or b=-9).

**How do you write an equation for slope?**

The slope-intercept form is one way to write a linear equation (the equation of a line). The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It’s usually easy to graph a line using y=mx+b.