Master Point-Slope Form And Easily Find Equations Of Lines Using A Single Point And Slope

point slope form

y-y1=m(x-x1)

Point slope form is a linear equation written in the form y-y₁=m(x-x₁), where (x₁, y₁) represents a point on the line, and m represents the slope of the line. This form is useful when you know the coordinates of a point on the line and its slope.

For example, if you have a line with a slope of 2 that passes through the point (−1, 4), you can write its equation in point slope form as y−4=2(x−(−1)). Then, you can simplify it to the standard form by distributing 2 on the right side, and rearrange the terms to get 2x-y=6.

Point-slope form is particularly useful when you need to find the equation of a line using a single point and a slope.

More Answers:
Calculus: Estimating Slopes With Secant Lines And Its Relation To Tangent Lines.
Slope: Why A Vertical Line Has An Undefined Slope In Mathematics
Slope: Why Is The Slope Of A Horizontal Line 0?

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