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Point Slope Formula:
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The point slope formula is a linear equation that describes a line using a single point on the line and the slope of the line. It is particularly useful when you know one point on the line and the line's slope but need to find other points.
The calculator uses the point slope formula:
Where:
Explanation: The formula calculates the y-value for a given x-value based on a known point (x₁, y₁) and the slope m of the line.
Details: The point slope form is essential in algebra and coordinate geometry for writing the equation of a line when you know one point and the slope. It's particularly useful for finding linear equations in real-world applications.
Tips: Enter the coordinates of the known point (x₁, y₁), the slope of the line (m), and the x-value for which you want to find the corresponding y-value. All values are unitless.
Q1: When should I use point slope form instead of slope intercept form?
A: Use point slope form when you know a point on the line and the slope, but not the y-intercept. Slope intercept form is more useful when you know both the slope and y-intercept.
Q2: Can I use this formula for vertical lines?
A: No, vertical lines have undefined slope, so the point slope form doesn't apply. Vertical lines are represented by equations of the form x = constant.
Q3: How accurate is the calculation?
A: The calculation is mathematically exact for the given inputs, though rounding may occur in the displayed result.
Q4: Can I use this for non-linear equations?
A: No, the point slope formula only applies to linear equations (straight lines).
Q5: What if I need to find the equation of the line instead of a specific point?
A: The point slope form itself is the equation of the line. You can rearrange it to slope intercept form (y = mx + b) if needed.