Slope from Tables

Writing equations for tables and graphs

Learning Target: I will be able to write an equation in the slope-intercept form when given a graph or a table. ​

• the point on the graph where the line crosses the y-axis.

• the value of y when x = 0

​y-intercept

Working with a graph

• slope is the ratio of rise over run

• find two points on the graph and make a slope triangle to find the values

slope

Working with a graph

Multiple Choice

Write an equation that represents the graphed line.

• y = x

• y = -x + 2

• y = -2x - 2

• y = x - 2

Multiple Choice

Which equation represents the following graph?

• y = 3x + 2

• y = -2x + 3

• y = 2x + 3

• y = -3x + 2

Multiple Choice

Jenny writes the equation y = -1/2x +5. Why is she incorrect?

• The slope is -2, the equation should be y = -2x + 5

• The y-intercept is 4, the equation should be y = -2x + 4

• The slope is -1/2, the equation should be  y = -1/2x + 5

• The y-intercept is -5, the equation should be y = -2x - 5

Fill in the Blanks

the value of y when x = 0

y-intercept

Working with a table

Some text here about the topic of discussion

Multiple Choice

What is the y-intercept?

• (0,1)

• (0,10)

• (0,-1)

• (0,-10)

Fill in the Blanks

What is the y-intercept?

Write as a coordinate pair (x, y)

Fill in the Blanks

What is the y-intercept?

Write as a coordinate pair (x,y)

Fill in the Blanks

What is the y-intercept?

Write as a coordinate pair - (x,y)

This requires a little bit of work to determine.

If the x variable increases by 1 unit, then find the change in y (1st difference) - this will represent the slope

​Finding the slope

Working a table

​slope is 2

(m = 2)

Fill in the Blanks

What is the slope of the table?

Fill in the Blanks

What is the slope for the table?

Fill in the Blanks

What is the slope for the table?

• If the x variable does not increase by 1, then find the change in the x and the change in the y.

• The ratio of the change in y to the change in x is the slope

​Finding slope

Working with a table

Some text here about the topic of discussion

​slope is 3/2

(m= 3/2)

Fill in the Blanks

What is the slope?

Fill in the Blanks

What is the slope?

Fill in the Blanks

What is the slope?

(Watch the sign for the change)

Fill in the Blanks

What is the slope?

Write in simplified form

Determine the y-intercept

Determine the slope

Write in slope-intercept form (y=mx+b)

For a table

Writing the equation

Multiple Choice

Which equation matches the table?

• y = x + 5

• y = 5x

• y = x - 5

• x = y - 5

Multiple Choice

Which equation matches the table?

• y = 3x + 9

• y = x + 9 

• y = x + 3

• y = 12x - 3

Fill in the Blanks

Write an equation in slope intercept form

(y=mx+b)

Fill in the Blanks

Write the equation in slope intercept form

(y=mx+b)

Fill in the Blanks

Write the equation in slope intercept form

(y=mx+b)

Fill in the Blanks

Write the equation in slope-intercept form

(y=mx+b)

Fill in the Blanks

Write the equation in slope intercept form

(y=mx+b)

y=mx+b

• "b" is the y-intercept

• "m" is the slope

• plot the y-intercept point on the graph

• use the slope to find another point from the y-intercept

​Graphing from slope-intercept form

Using slope-intercept form

Draw

Graph y = 2x + 4 (Be as accurate as possible)

Draw

Graph y = 1/2x + 2 (Be as accurate as possible)

Draw

Graph y = -x - 2 (Be as accurate as possible)

Draw

Graph y = -2/3x - 1 (Be as accurate as possible)

Draw

Graph y = 3x - 4 (Be as accurate as possible)