Linear Functions Worksheet - Rate Of Change And Slope Page 4
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12Chapter 5 – Linear Functions
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What happens when you don’t know either slope or the y-intercept?
1) What do you need first?
2) Ordered pairs represent what 2 variables in the equation y = mx + b?
Steps: (When you don’t know slope or the y-intercept.)
1) Find the slope using the given points. (Plug in for “m”)
2) Choose either point and plug in for x and y.
3) Solve for “b”
4) Write the final equation using the “m” and the “b” that you found.
Example: Write an equation of the line passing through (2,1) and (5,-8) in slope-intercept form.
Example: Write an equation of the line passing through (3,-2) and (1,-3) in slope-intercept form.
Graphing Lines Using Slope and Y-Intercept
1) Get to slope-intercept form by solving for y
2) State what the slope is and the y-intercept.
3) Plot the y-intercept
4) From the y-intercept, use the slope by doing rise over run to get the next point.
5) Draw the line
Get the following equations to slope-intercept form.
1) 5x + 2y = 8
2) 4x – 3y = -9
Keller – Algebra 1 Notes
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