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Point-Slope Form of a Linear Equation. The point-slope form of a linear equation of a non-vertical line is given by:. line that contains the point (3, -5) and has slope. Example 1: Write the point-slope form equation of the. Substitute values into the equation …. Slope:. Point:.
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Point-Slope Form of a Linear Equation The point-slope form of a linear equation of a non-vertical line is given by:
line that contains the point (3, -5) and has slope Example 1: Write the point-slope form equation of the Substitute values into the equation … Slope:
Point: Simplify:
Example 2: Write the slope-intercept equation of the line that contains the point (- 2, 5) and has slope First, substitute the given point and slope values into the point-slope equation. Simplify
Next, put in slope-intercept form, Multiply each term by the common denominator …
Example 3: Write the slope-intercept equation of the line that contains the points (- 1, 8) and (4, - 2). First, find the slope of the line using the given points.
Next, substitute either given point (let’s use (- 1, 8)) and the slope, - 2, into the point-slopeequation. Last, simplify and write in slope-interceptform.