Geometry Lesson 3.1 Linear equations in slope-intercept form - Vincent Nguyen | Library

Instructions

This is a review lesson over 2-variable linear equations learned in Algebra 1. Students are expected to be able to write linear equations using the slope and y-intercept. There are 3 different objectives: Students will be able to (1 - easy) write the equation when given slope and y-intercept, (2 - medium) write the equation when given slope and one point, and (3 - hard) write the equation when given 2 points.

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Today, I am feeling ____ !

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My friend, _______ , is feeling _______ today!

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Essential Question: How do I write a _______ equation in _______ form when given 2 points?

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Learning Objectives: In this lesson, I will learn to...
Write linear equation in _______ form
Find the slope and the y-intercept when given _______ points.

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Draggable item		Corresponding Item
m		Slope-Intercept form
y		the input value
y = mx + b		the output value
x		ordered pair on the line
(x, y)		the slope of the line
b		the y-intercept of the line

2

A line has a y-intercept of 6 and a slope of 10. Write the equation of the line in slope-intercept form.
y = _______ x + _______ 

10

Find the slope given 2 points and write the equation for the line containing these points. 


m = _______ 
Use the point (15, 10) to find the "b" value: 
y = mx + b
_______ = (_______ )(_______ ) + b
_______ = _______ + b
_______ = b

Write the equation using m and b:
y = _______ x + _______ Or
_______  is the simplified version.

3

Use the given information to write a linear equation in slope-intercept form y = mx + b.
slope m = -5/6
y-intercept b = 2
This is the (easy, medium, or hard?) case? _______ 
Equation: y = _______ x + _______ 

3

Use the given information to write a linear equation in slope-intercept form y = mx + b.
slope m = 1/2
y-intercept b = -3/2
This is the (easy, medium, or hard?) case? _______ 
Equation: y = _______ x + _______ 

2

Use the given information to write a linear equation in slope-intercept form y = mx + b.
slope m =-3 
y-intercept b = 12
This is the (easy, medium, or hard?) case? _______ 
Equation: _______ 

2

Use the given information to write a linear equation in slope-intercept form y = mx + b.
slope m =-3/5 
y-intercept b = -1/5
This is the (easy, medium, or hard?) case? _______ 
Equation: _______ 

2

Use the given information to write a linear equation in slope-intercept form y = mx + b.
slope m =-3/4 
y-intercept b = -6
This is the (easy, medium, or hard?) case? _______ 
Equation: _______ 

8

Use the given information to write a linear equation in slope-intercept form y = mx + b.
slope m =3/5 
passes through point: (11,6)
This is the (easy, medium, or hard?) case? _______ 
Use the given point to find the y-intercept, b:
_______ = _______ (_______ ) + b
_______ = _______ + b
_______ = b
Equation: _______ 

2

Use the given information to write a linear equation in slope-intercept form y = mx + b.
slope m =0
y-intercept b =-9/4
This is the (easy, medium, or hard?) case? _______ 
Equation: _______ 

2

Use the given information to write a linear equation in slope-intercept form y = mx + b.
slope m =-4/5
y-intercept b =-3/5
This is the (easy, medium, or hard?) case? _______ 
Equation: _______ 

8

Use the given information to write a linear equation in slope-intercept form y = mx + b.
slope m =2
passes through point: (-12,-16)
This is the (easy, medium, or hard?) case? _______ 
Use the given point to find the y-intercept, b:
_______ = _______ (_______ ) + b
_______ = _______ + b
_______ = b
Equation: _______ 

8

Use the given information to write a linear equation in slope-intercept form y = mx + b.
slope m =2/5
passes through point: (-5,18)
This is the (easy, medium, or hard?) case? _______ 
Use the given point to find the y-intercept, b:
_______ = _______ (_______ ) + b
_______ = _______ + b
_______ = b
Equation: _______ 

10

Use the given information to write a linear equation in slope-intercept form y = mx + b.
passes through points: (-13,8) and (7,-4)
This is the (easy, medium, or hard?) case? _______ 
Use the two give points to find the slope: 
m= _______ = _______ 
Use the point (7,-4) to find the y-intercept, b:
_______ = _______ (_______ ) + b
_______ = _______ + b
_______ = b
Equation: _______ 

8

Use the given information to write a linear equation in slope-intercept form y = mx + b.
slope m =3/4
passes through point: (12,-7)
This is the (easy, medium, or hard?) case? _______ 
Use the given point to find the y-intercept, b:
_______ = _______ (_______ ) + b
_______ = _______ + b
_______ = b
Equation: _______ 

10

Use the given information to write a linear equation in slope-intercept form y = mx + b.
passes through points: (-19,17) and (17,-19)
This is the (easy, medium, or hard?) case? _______ 
Use the two give points to find the slope: 
m= _______ = _______ 
Use the point (17,-19) to find the y-intercept, b:
_______ = _______ (_______ ) + b
_______ = _______ + b
_______ = b
Equation: _______ 

10

Use the given information to write a linear equation in slope-intercept form y = mx + b.
passes through points: (-14,-10) and (7,-4)
This is the (easy, medium, or hard?) case? _______ 
Use the two give points to find the slope: 
m= _______ = _______ 
Use the point (7,-4) to find the y-intercept, b:
_______ = _______ (_______ ) + b
_______ = _______ + b
_______ = b
Equation: _______ 

10

Use the given information to write a linear equation in slope-intercept form y = mx + b.
passes through points: (-5,10) and (4,-8)
This is the (easy, medium, or hard?) case? _______ 
Use the two give points to find the slope: 
m= _______ = _______ 
Use the point (4,-8) to find the y-intercept, b:
_______ = _______ (_______ ) + b
_______ = _______ + b
_______ = b
Equation: _______ 