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

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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)

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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)

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• 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)

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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

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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)