To calculate the slope-intercept form from two points, you need to identify the coordinates of the two points, which we’ll call (x1, y1) and (x2, y2). The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the y-intercept.
1. Calculate the slope (m): The slope between two points is found using the formula:
m = (y2 – y1) / (x2 – x1)
This formula gives you the change in y (vertical change) divided by the change in x (horizontal change) between the two points.
2. Find the y-intercept (b): Once you have the slope, you can use one of the original points to solve for the y-intercept. Plug the slope and the coordinates of one of the points into the slope-intercept formula:
y1 = m * x1 + b
Rearranging the equation to solve for b gives:
b = y1 – m * x1
3. Formulate the equation: Now that you have both m and b, substitute them back into the slope-intercept form (y = mx + b) to get the equation of the line.
In summary, you calculate the slope between the two points, find the y-intercept using one of the points, and then write the equation in slope-intercept form. This method provides a clear way to express the relationship between the two variables represented by your points.