finding slope or the y-intercept from linear...
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MS Algebra A-F-IF-7 – Ch. 6.1bFinding Slope or the y-intercept From Linear
Equations in Slope-Intercept FormMr. Deyo
Finding Slope or the y-intercept from the
Slope-Intercept Form
By the end of the period, I will find the slope or y-intercept from linear equations in slope-intercept form as well as write equations given two or more points.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Learning Target
Title: 6.1b Find Slope or y-intercept from Slope-Intercept Form Date:
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 6.1 Pg. 326 3) Section ______
TxtBk.Prob. #25,26,29,31,33,39 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description Date Due
Storm Check (Think, Write, Discuss, Report)
Questions on which to ponder and answer:1. How are the two images similar?
2. How are they different?
3. How can these two images be related to math?
1) Slope
2) y-intercept
3) Slope-Intercept Form
4) Point-Slope Form
Vocabulary
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
Friendly DefinitionSketch
Wordwork Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing
DAY 1
1. Use Visuals
2. Introduce the word
Friendly Definition
Physical Representation
3. Use Cognates
4. Write friendly definition
5. Physical Representation
Word List1.2.3.4.
y = mx + b
Notes: How To Get To Slope-Intercept Form
Slope-Intercept Form of a Linear Equation
m = slopeb = y-intercept
Step 1) Make a table
Use the two points to calculate SLOPE (m)
x y
X1 Y1
X2 Y2
Step 2) Plug m and one point into y = mx + bSolve for b
(Y1) = m(X1) + b
Step 3) Write general formula with m and b
m = Y2 – Y1
X2 – X1
Problem A
Write an equation of the line shown.
Write an equation of a
line given two points
x y
Problem A
Write an equation of the line shown.
Write an equation of a
line given two points
STEP 1 Calculate the slope.
my2
y1–
x2 x1–=
4
3=
3 0–
1– – ( )5–=
mx b+=y Write slope-intercept form.
Substitute for m and -5 for b.3
4
STEP 2
Write an equation of the line. The line crosses the y-axis at (0, -5). So, the y-intercept is b = -5.
5=y 34
x –
ANSWER
x y
3 -1
0 -5
Problem B
Write an equation of the line shown.
Write an equation of a
line given two pointsANSWER
x y
Problem B
Write an equation of the line shown.
Write an equation of a
line given two points
STEP 1 Calculate the slope.
my2
y1–
x2 x1–=
2
-4=
0 4–
1 – ( )1–=
mx b+=y
STEP 2
Write an equation of the line. The line crosses the y-axis at (0, 1). So, the y-intercept is b = 1.
1=y 2-1
x +
ANSWER
x y
0 1
4 -1
=1
-2
Storm Check (Think, Write, Discuss, Report)
If you are given two points, how can you create a linear equation that is in slope-intercept form?
(2-3 sentences)
When given two points, I can create a linear
equation in slope-intercept form by _______________
_______________________________________________
______________________________________________
______________________________________________.
Problem AFind the slope or y-intercept given a point
Find the value of m or b if the given line passes through the given point.
(-6, -9)y = 2x + b3
Problem AFind the slope or y-intercept given a point
Find the value of m or b if the given line passes through the given point.
Substitute the coordinates of the given point into the equation and solve for b.
mx b+=y
SOLUTION
(-6, -9)y = 2x + b3
-9 = 2(-6) + b3 1
-9 = -4 + b
-5 = b
2(-6) = -12
-12/3 = -4
Problem BFind the slope or y-intercept given a point
Find the value of m or b if the given line passes through the given point.
(3, -2)y = mx + 1
Problem BFind the slope or y-intercept given a point
Find the value of m or b if the given line passes through the given point.
Substitute the coordinates of the given point into the equation and solve for m.
mx 1+=y
1+=2– ( )3m
=3– 3m
=1– m
SOLUTION
(3, -2)y = mx + 1
Write original equation.
Substitute 3 for x and -2 for y.
Subtract 1 from each side.
Divide each side by 3.
By the end of the period, I will find the slope or y-intercept from linear equations in slope-intercept form as well as write equations given two or more points.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Learning Target
Title: 6.1b Find Slope or y-intercept from Slope-Intercept Form Date:
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 6.1 Pg. 326 3) Section ______
TxtBk.Prob. #25,26,29,31,33,39 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description Date Due
Ticket OUT. Find the slope or y-intercept given a point
Find the value of m or b if the given line passes through the given point.
(-1, -4)y = 2x + b
Ticket OUT. Find the slope or y-intercept given a point
Find the value of m or b if the given line passes through the given point.
Substitute the coordinates of the given point into the equation and solve for b.
mx b+=y
SOLUTION
(-1, -4)y = 2x + b
-4 = 2(-1) + b
-4 = -2 + b
-2 = b