Point Slope Form
Point Slope Form is a linear equation format used to express the equation of a straight line
Point Slope Form is a linear equation format used to express the equation of a straight line. It is represented as follows:
y – y1 = m(x – x1)
In this equation, (x1, y1) represents the coordinates of a given point on the line, while m represents the slope of the line.
The point-slope form allows us to find the equation of a line using just one point and the slope. By plugging in the values of the slope and the coordinates of the given point into the equation, we can determine the equation of the line.
For example, let’s say we have a line passing through the point (3, 5) with a slope of 2. Using the point-slope form, we can write the equation as:
y – 5 = 2(x – 3)
To convert this equation to slope-intercept form (y = mx + b), we can simplify it as follows:
y – 5 = 2x – 6
y = 2x – 6 + 5
y = 2x – 1
Therefore, the equation of the line passing through the point (3, 5) with a slope of 2 is y = 2x – 1.
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