Understanding the Point-Slope Form: Equation of a Line with a Given Point and Slope | Math Explanation & Examples

Point Slope

The point-slope form is a way to write the equation of a straight line when you know the coordinates of a point on the line and the slope of the line

The point-slope form is a way to write the equation of a straight line when you know the coordinates of a point on the line and the slope of the line. It is written as:

y – y1 = m(x – x1)

where (x1, y1) is the given point, and m is the slope.

To use the point-slope form, you need to know a point on the line and the slope of the line. Let’s say we have a point (3, 4) and the slope is 2.

We can plug in these values into the point-slope form equation:

y – 4 = 2(x – 3)

Let’s simplify this equation:

y – 4 = 2x – 6

Next, we can isolate y by adding 4 to both sides:

y = 2x – 6 + 4

y = 2x – 2

Therefore, the equation of the line with the given point (3, 4) and slope 2 is y = 2x – 2.

More Answers:

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The Intersection of Angle Bisectors: Proving Equal Distances from Point O to Triangle Sides
Understanding the Circumcenter of a Triangle: Perpendicular Bisectors and Equidistance

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