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Slope Formula:
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The point-slope formula is a method for finding the equation of a straight line when you know the slope and one point on the line. The formula is expressed as:
Where (x₁, y₁) is a known point on the line and m is the slope of the line.
The calculator uses the point-slope formula to generate both the point-slope form and slope-intercept form of the linear equation:
Where:
Explanation: The calculator takes your input values and constructs both forms of the linear equation, showing the relationship between x and y variables.
Details: The point-slope form is particularly useful when you know one point on a line and its slope. It's commonly used in physics, engineering, economics, and various mathematical modeling applications where linear relationships are analyzed.
Tips: Enter the coordinates of your known point (x₁, y₁) and the slope value (m). The calculator will provide both the point-slope form and slope-intercept form of the equation.
Q1: What's the difference between point-slope and slope-intercept form?
A: Point-slope form uses a specific point and slope (y - y₁ = m(x - x₁)), while slope-intercept form shows the y-intercept explicitly (y = mx + b).
Q2: Can I use this with fractional or decimal values?
A: Yes, the calculator accepts and properly handles fractional and decimal values for all inputs.
Q3: What if my slope is zero or undefined?
A: The calculator works with all slope values, including zero (horizontal line) and undefined (vertical line) slopes.
Q4: How accurate are the results?
A: The calculator provides precise results based on your input values, maintaining the same level of precision you provide.
Q5: Can I use this for non-linear equations?
A: No, this calculator is specifically designed for linear equations that follow the point-slope form.