2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given...

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September 27, 2016 2.4 More About Linear Equations 3 General types of equations Slope- Intercept Form Standard form Point-Slope Form m =slope b = y -intercept 1.) Quick for graphing using the slope and y-intercept. 2.) Story problems involving a starting amount and a rate. A,B and C are integers (no fractions!). Variable terms on the left, constants to the right! 1.) Quick for graphing with intercepts. 2.) Story problems involving purchases, chemistry mixture problems, "Grocery store equations" is a point. m=slope 2.) Easy to create an equation. " Fill in the blanks". 1.) Quick for graphing using the slope and a point.

Transcript of 2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given...

Page 1: 2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given a point and the slope. 1. A line passes through ( 2, 5) with a slope of 3/2. hint:

September 27, 2016

2.4 More About Linear Equations

3 General types of equations

Slope- Intercept Form Standard form Point-Slope Form

m =slopeb = y -intercept

1.) Quick for graphing using the slope and y-intercept.2.) Story problems involving a starting amount and a rate.

A,B and C are integers(no fractions!). Variable terms on the left, constants to the right!

1.) Quick for graphing with intercepts.2.) Story problems involving purchases, chemistry mixture problems, "Grocery store equations"

is a point.

m=slope

2.) Easy to create an equation. " Fill in the blanks".

1.) Quick for graphing using the slope and a point.

Page 2: 2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given a point and the slope. 1. A line passes through ( 2, 5) with a slope of 3/2. hint:

September 27, 2016

Write an equation in slope-intercept form given a point and the slope.

1. A line passes through ( 2, 5) with a slope of 3/2.hint: "fill in three, find b".

*You can also start with point-slope form and solve for y.

Page 3: 2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given a point and the slope. 1. A line passes through ( 2, 5) with a slope of 3/2. hint:

September 27, 2016

Write an equation in point-slope form given a point and the slope.

2. A line passes through ( 3, -4) with a slope of 3/5.hint: "fill in the blanks!"

Page 4: 2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given a point and the slope. 1. A line passes through ( 2, 5) with a slope of 3/2. hint:

September 27, 2016

Write an equation in point-slope form given two points.3. A line passes through (-2, 2) and (1, 8).

hint: "fill in the blanks!"

Page 5: 2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given a point and the slope. 1. A line passes through ( 2, 5) with a slope of 3/2. hint:

September 27, 2016

Write an equation in standard form.

4a.

(hint: rearrange the equation...variable terms to the left, constants to the right. Get rid of the fractions last!)

b.)

Page 6: 2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given a point and the slope. 1. A line passes through ( 2, 5) with a slope of 3/2. hint:

September 27, 2016

Using intercepts to graph from standard form.

5.)

Let x=0

Let y=0

Page 7: 2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given a point and the slope. 1. A line passes through ( 2, 5) with a slope of 3/2. hint:

September 27, 2016

Parallel lines have the same slope. Perpendicalar lines have slopes that are negative reciprocals of each other.

Page 8: 2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given a point and the slope. 1. A line passes through ( 2, 5) with a slope of 3/2. hint:

September 27, 2016

6. What is the equation of the line in slope-intercept form? The line parallel to y = 6x - 2 through (1, - 3).

Page 9: 2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given a point and the slope. 1. A line passes through ( 2, 5) with a slope of 3/2. hint:

September 27, 2016

7. What is the equation of the line in slope-intercept form? The line perpendicular to y = - 4x + 2/3 through (8, 5).

Page 10: 2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given a point and the slope. 1. A line passes through ( 2, 5) with a slope of 3/2. hint:

September 27, 2016

Homework: p. 86 # 1-6,8,11-21 odd,26-29 all, 33-41 odd,55-57 all

Page 11: 2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given a point and the slope. 1. A line passes through ( 2, 5) with a slope of 3/2. hint:

September 27, 2016

Page 12: 2.4 More About Linear Equations - Yorktown€¦ · Write an equation in slope-intercept form given a point and the slope. 1. A line passes through ( 2, 5) with a slope of 3/2. hint:

September 27, 2016

Homework: p. 86 # 1-6,8,11-21 odd,26-29 all, 33-41 odd,55-57 all