Write Linear Equations in Point-Slope Form Calculator
Writing linear equations in point-slope form is a fundamental concept in algebra and geometry. It allows us to represent a linear relationship between two variables using a point and the slope of the line…
Step 1: Enter the coordinates of two points (x1, y1) and (x2, y2).
Step 2: Click the ‘Calculate’ button.
Step 3: View the equation in point-slope form and see the visualization in the chart.
The formula to write a linear equation in point-slope form using two points (x1, y1) and (x2, y2) is:
y – y1 = m(x – x1)
where m is the slope of the line, calculated as:
m = (y2 – y1) / (x2 – x1)
| Point-Slope Form | Slope-Intercept Form |
|---|---|
| y – 3 = 2(x – 1) | y = 2x – 1 |
| y + 2 = -3(x – 4) | y = -3x + 10 |
- Always double-check your calculations to ensure the equation is in the correct form.
- Remember that the point-slope form is useful when you have a point and the slope of the line.
- To convert the point-slope form to slope-intercept form, set x = 0 and solve for y.
- To find the y-intercept, use the slope-intercept form and find the value of y when x = 0.
What is the point-slope form of a linear equation?
The point-slope form of a linear equation is y – y1 = m(x – x1), where (x1, y1) is a point on the line and m is the slope of the line.
How do I find the slope of a line using two points?
The slope (m) of a line using two points (x1, y1) and (x2, y2) is calculated as m = (y2 – y1) / (x2 – x1).