MATH CALCULATOR
Line Equation from Two Points Calculator
Calculate the equation of a line given two points using our online calculator.
What is the Line Equation from Two Points Calculator & How does it work?
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To find the equation of a line given two points (x1, y1) and (x2, y2), you first calculate the slope using the formula:Once you have the slope, you can substitute it into the point-slope form of a line equation: y – y1 = m(x – x1) to find the equation. Alternatively, you can use the slope and one of the points to solve for b in the slope-intercept form.
m = frac{y_2 – y_1}{x_2 – x_1}
m = slope, y_2 and y_1 are the y-coordinates of the two points, x_2 and x_1 are the x-coordinates of the two points.
Parameters
Result—
Frequently Asked Questions
How do I find the slope between two points?
To find the slope, use the formula m = (y2 – y1) / (x2 – x1), where (x1, y1) and (x2, y2) are your two points.
What is the point-slope form of a line equation?
The point-slope form is y – y1 = m(x – x1), where m is the slope and (x1, y1) is a point on the line.
How do I convert the equation to slope-intercept form?
Rearrange the point-slope form to solve for y: y = mx + b, where b is the y-intercept.
Can this calculator handle vertical lines?
No, vertical lines have an undefined slope and cannot be expressed in slope-intercept form.
What if I input the same point twice?
If you input identical points, the line is undefined because it has no slope.
Results are for informational purposes only and do not constitute professional advice.