How Do You Find The Equation Of A Line That Passes Through Points Effortlessly?

How to determine the equation of a line that passes through two given points? Follow these steps for a clear understanding:

1. Calculate the slope of the line by employing the slope formula, which involves dividing the difference in the y-coordinates of the two points by the difference in their x-coordinates.

2. Utilize the calculated slope (m) and one of the given points (x1, y1) to solve for the y-intercept (b) using the formula: b = y1 – mx1.

3. Now that you have both the slope (m) and the y-intercept (b), you can construct the equation of the line in slope-intercept form (y = mx + b). This equation represents the line passing through the specified points, making it easier to work with and understand in various mathematical contexts.