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Point Slope Form Equation:
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The point slope form is a linear equation format that describes a line using a known point on the line and the slope of the line. It is expressed as y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.
The calculator uses the point slope form equation:
Where:
Explanation: This form is particularly useful when you know one point on the line and the slope, making it easy to write the equation of the line.
Details: Point slope form is essential in algebra and coordinate geometry for quickly writing linear equations when given a point and slope. It's also useful for finding parallel and perpendicular lines.
Tips: Enter the coordinates of the known point (x₁, y₁) and the slope (m) of the line. The calculator will generate the point slope form equation.
Q1: When should I use point slope form?
A: Use point slope form when you know one point on the line and the slope. It's particularly useful for writing equations quickly.
Q2: How is point slope form different from slope intercept form?
A: Point slope form uses a specific point and slope (y - y₁ = m(x - x₁)), while slope intercept form uses slope and y-intercept (y = mx + b).
Q3: Can I convert point slope form to other forms?
A: Yes, point slope form can be rearranged to slope intercept form or standard form through algebraic manipulation.
Q4: What if the slope is zero or undefined?
A: If slope is zero, you get a horizontal line (y = y₁). If slope is undefined, you get a vertical line (x = x₁).
Q5: Are there any limitations to point slope form?
A: Point slope form requires knowing both a point and the slope. If you only have two points, you'll need to calculate the slope first.