Title: Algebra 1 Section 4.6
1Algebra 1Section 4.6
Quick Graphs Using Slope-Intercept Form
2Important!!!
- 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
3Writing Equations
- When asked to write an equation, you need to know
two things slope (m) and y-intercept (b).
4Example 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
5Writing Equations
- Write an equation in slope-intercept form for the
following - 1. 3.
- 2. 4.
6Write the equation of a line that has a
y-intercept of -3 and a slope of -4.
- y -3x 4
- y -4x 3
- y -3x 4
- y -4x 3
7To 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
8Find 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
9Find the slope and y-intercept.4) 5x - 3y 6
m b -2
10Find 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
11Find the slope and y-intercept of y -2x 4
- m 2 b 4
- m 4 b 2
- m -2 b 4
- m 4 b -2
12Example 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).
13Graphing 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
14Review Graphing with slope-intercept
-3
-3
1
- Start by graphing the y-intercept (b 2).
- From the y-intercept, apply rise over run using
your slope.rise 1, run -3 - Repeat this again from your new point.
- 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(No Transcript)
17Graph the following equations
18HomeworkComplete Study Guide for Chapter 4 ?
due Tuesday, November 19th