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Lines and Slopes. Example 1: Find the Slope. Possibilities for a Line’s Slope. Possibilities for a Line’s Slope. Example 2: Find the Slope. Solution. Practice Exercise. Answer. Point-slope Form of the Equation of a Line. Write the point-slope form of the equati. on.
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Write the point-slope form of the equati on of the line passing through (1,3) with a slope of 4. Then solve the equation for . y Example 3: Writing the Point-Slope Equation of a Line
1. Write the point-slope form of the equ ation of the line passing through (4,-1) with a slope of 8. Then solve the equation for . y 2. Write the point-slope form of the equ ation - of the line passing through the points ( 2,0) and (0,2). Then solve the equation for . y Practice Exercises
The Slope-Intercept Form of the Equation of a Line Y-intercept is b Slope is m
Graphing y=mx+b Using the Slope and y-Intercept. • Plot the y-intercept on the y-axis. This is the point (0,b). • Obtain a second point using the slope, m. Write m as a fraction, and use rise over run starting at the y-intercept to plot this point
Graphing y=mx+b Using the Slope and y-Intercept. • Use a straightedge to draw a line through the two points. Draw arrowheads at the ends of line to show that the line to show that the line continues indefinitely in both directions.
First use the -intercept 2, to y plot the point (0,2). Starting at (0,2), move 3 units up and 1 unit to the right. This gives us the second point of the line. Use a straightedge to draw a line through the tw o points.
Equation of a Horizontal Line Y-intercept is 4
Equation of a Vertical Line X-intercept is -5
Example 6: Graphing a Horizontal Line Y-intercept is 5.
Example 7: Graphing a Vertical Line X-intercept is –5.
