Point-Slope Form of a Linear Equation

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Presentation transcript:

Point-Slope Form of a Linear Equation The point-slope form of a linear equation of a non-vertical line is given by:

Example 1: Write the point-slope form equation of the line that contains the point (3, -5) and has slope Substitute values into the equation … … and 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.

Next, put in slope-intercept form.

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 (say, (- 1, 8)) and the slope, - 2, into the point-slope equation. y – 8 = - 2(x – (- 1)) Last, simplify and write in slope-intercept form. y – 8 = - 2(x + 1) y – 8 = - 2x – 2 y = - 2x + 6

END OF PRESENTATION