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Algebra 1 Section 4.6

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Algebra 1 Section 4.6 Quick Graphs Using Slope-Intercept Form Important!!! This is a big concept in Algebra 1. You need to thoroughly understand ... – PowerPoint PPT presentation

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Title: Algebra 1 Section 4.6


1
Algebra 1Section 4.6
Quick Graphs Using Slope-Intercept Form

2
Important!!!
  • This is a big concept in Algebra 1. You need to
    thoroughly understand this!
  • Slope Intercept Form
  • y mx b
  • m represents the slope
  • b represents the y-intercept

3
Writing Equations
  • When asked to write an equation, you need to know
    two things slope (m) and y-intercept (b).

4
Example 1 Writing Equations
  • Write an equation in slope-intercept form of the
    line that has a slope of 2 and a y-intercept of
    6.
  • To write an equation, you need two things
  • slope (m)
  • y intercept (b)
  • We have both!! Plug them into slope-intercept
    form
  • y mx b
  • y 2x 6

2
6
5
Writing Equations
  • Write an equation in slope-intercept form for the
    following
  • 1. 3.
  • 2. 4.

6
Write the equation of a line that has a
y-intercept of -3 and a slope of -4.
  1. y -3x 4
  2. y -4x 3
  3. y -3x 4
  4. y -4x 3

7
To find the slope and y-intercept of an equation,
write the equation in slope-intercept form y
mx b.
  • Find the slope and y-intercept.
  • y 3x 7
  • y mx b
  • m 3, b -7

8
Find the slope and y-intercept.
  • 2) y x
  • y mx b
  • y x 0
  • 3) y 5
  • y mx b
  • y 0x 5

m b 0
m 0 b 5
9
Find the slope and y-intercept.4) 5x - 3y 6
  •  

m b -2
10
Find the slope and y-intercept. 5) 2y 2 4x
  • Write it in slope-intercept form.
  • (y mx b)
  • 2y 2 4x
  • - 2 - 2
  • 2y 4x 2
  • 2 2 2
  • y 2x - 1

m 2 b -1
11
Find the slope and y-intercept of y -2x 4
  1. m 2 b 4
  2. m 4 b 2
  3. m -2 b 4
  4. m 4 b -2

12
Example 2 Graphing Using Slope and y-Intercept
  • When given an equation, you can easily graph it
    in slope-intercept form. All you need is two
    things
  • the slope (m) and y-intercept (b).

13
Graphing Using Slope and y-intercept
  • Step 1 Make sure the equation is in
    slope-intercept form
  • Step 2 Find the slope and y-intercept
  • Step 3 Plot the y-intercept
  • Step 4 Apply the slope (rise/run) to the
    y-intercept

14
Review Graphing with slope-intercept
-3
-3
1
  1. Start by graphing the y-intercept (b 2).
  2. From the y-intercept, apply rise over run using
    your slope.rise 1, run -3
  3. Repeat this again from your new point.
  4. Draw a line through your points.

1
Start here
15
Graph
Step 1 ymxb Step 2 slope 2 y-intercept
3 Step 3 plot the y-intercept on a graph Step
4 apply the slope
16
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17
Graph the following equations
18
HomeworkComplete Study Guide for Chapter 4 ?
due Tuesday, November 19th
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