Writing Linear Functions in Slope-Intercept Form.
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Transcript of Writing Linear Functions in Slope-Intercept Form.
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Writing Linear Functions Writing Linear Functions in Slope-Intercept Formin Slope-Intercept Form
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ReviewReview
In the equation y = In the equation y = mmx + x + bb, what is , what is mm? ? what is what is bb??
So, if you were given a slope of -3 and a y-intercept of 5, how would you write the equation
of the line?
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Extra ProblemsExtra Problems
1.1. Slope = 8; y-intercept = -7Slope = 8; y-intercept = -7
2.2. Slope = ¾; y-intercept = -3Slope = ¾; y-intercept = -3
![Page 4: Writing Linear Functions in Slope-Intercept Form.](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649d0e5503460f949e4042/html5/thumbnails/4.jpg)
Write an equation of the lineWrite an equation of the lineshown.shown.
Step 1: What is the slope?
Step 2: Write an equation of the line. The line crosses the y-axis at (0,-4). So the y-intercept is what?
y = y = mmx + x + bb
y = y = 11x - x - 44
![Page 5: Writing Linear Functions in Slope-Intercept Form.](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649d0e5503460f949e4042/html5/thumbnails/5.jpg)
Writing functionsWriting functionsRecall that the graphs of linear functions are Recall that the graphs of linear functions are
lines. You can use slope-intercept form to lines. You can use slope-intercept form to write a linear function.write a linear function.
Earlier in the year, you saw that ff (x) = y
Now we’re going to take this concept and take it a
step further!
![Page 6: Writing Linear Functions in Slope-Intercept Form.](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649d0e5503460f949e4042/html5/thumbnails/6.jpg)
Example 1Example 1Write an equation for the linear Write an equation for the linear
function function f f with the values with the values f f (0) = 5 (0) = 5 and and f f (4) = 17.(4) = 17.
Step 1: Look at ff (0) = 5. Doesn’t it look very similar to ff (x) = y????
Step 2: What is x and what is y?
x = 0 y = 5
Step 3: Now put those two into an ordered pair!
(0,5)
NOW, put the other value into an ordered pair.
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Continuing on….Continuing on….Now that you have two points. Find the Now that you have two points. Find the
slope.slope.
(0,5) (4,17)
m = 3m = 3
Now, look at those two points. Does one of them look like they could be the y-intercept?
Finally, write an equation of the line with the slope you found and the y-intercept you were given.
y = y = 33x + x + 55
![Page 8: Writing Linear Functions in Slope-Intercept Form.](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649d0e5503460f949e4042/html5/thumbnails/8.jpg)
More examplesMore examplesWrite an equation for the linear function Write an equation for the linear function f f
with the given valueswith the given values
24
3 xy
f (0) = -2 f (8) = 4
f (-3) = 6 f (0) = 5
Slope m = ¾Slope m = ¾
Slope m = -1/3Slope m = -1/3
y-intercept b = -2y-intercept b = -2
y-intercept b = 5y-intercept b = 55
3
1 xy
![Page 9: Writing Linear Functions in Slope-Intercept Form.](https://reader036.fdocuments.in/reader036/viewer/2022082610/56649d0e5503460f949e4042/html5/thumbnails/9.jpg)
HomeworkHomework
In the book:In the book:• Pg. 286 #18-38 Pg. 286 #18-38 eveneven