#### Transcript of Writing Linear Equations from a table

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Objective & EQ

Ordered Pair: a pair of numbers that can be used to locate a point on a coordinate plane

Slope: a measure of the steepness of a line on a graph

Linear equation: an equation whose solutions form a straight line on a coordinate plane

Objective: I will be able to use

information from a table to write

a linear equation.

Examples & Steps

I will be able to use information from a table to write a linear equation.

How do you write an equation to model a linear relationship given a table?

**Writing Linear Equations from a table**

CACC 8.F.4: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x,y) values, including reading these from a table or from a graph.Interpret the rate of change and initial value of a linear function in terms of the situation it models.

Remember Vocab Terms

Essential Question: How do

you write an equation to

model a linear relationship

given a table?

Steps:

Example #1

1) Find out if the relationship is linear.

2) Choose any two ordered pairs and plug them in this equation:

3)Find the y-intercept. use the slope and any point

from the graph. use the equation substitute for y, m, and x.

4) solve the equation.

5) Put the slope and y-intercept in slope-intercept form.

The table shows how much an air-conditioning company charges for different numbers of hours of work. Find the slope and y-intercept from the table then write the equation in slope-intercept form.

Example #2

Recall objective

Recall Essential Question

#1

**5.2 Writing Linear Equations from a Table**

Y-intercept: the point of a

line that crosses the y-axis.

The table shows the cost of a large pizza with toppings at a local pizzeria. Find the slope and y-intercept from the table. Then write the equation for the table in slope-intercept form.

= 2 - 1

12- 10

=

1

2

since there is no

x value 8 is your

y-intercept.

Equation for this table: y=2x+8

=

150 - 100

2 - 1

=

50

since there is no

x value 50 is your

y-intercept.

Equation for this table: y=50x+50

Time 4 You 2 Try It!

The table shows a linear relationship between x and y. Write an equation in slope-intercept form.

**Time 4 you 2 try it **

#2

Write an equation in slope-intercept form for the relationship.

**Isha Buttar**

Period 2

Answers

#1. y=x+ 1

#2. y= 1/-2x+6

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