Finding Slope from Equations

Finding Slope

from a table, graph, two points, and an equation

Slope From An Equation

• If the equation is written in this form, you look for the number being multiplied by the variable x.

Multiple Select

Which equations are written in slope intercept form

• y = 4

• 3x + y = 10

• y = - 2x -7

• x = - 8

• y = 5x + 2

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Write the slope for the equations in slope intercept form. (Use a comma)

Slope From A Graph

• To find the slope of a line, you would use what's called "rise over run."

• Rise is looking at the vertical change which is the change (difference) in y-values

• Run is looking at the horizontal change which is the change (difference) in x-values

• Using this example, you would pick two definite points on the graph and determine the rise first, then the run.

• This graph has already done most of the work. The rise is 4 and the run is 6.  To find the slope, you'll do 4 over 6 or 4/6 and REDUCE the fraction.

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What is the slope of the line?

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What is the slope of the line?

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What is the slope of the graph?

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What is the slope of the line?

Slope From a Table

• To find the slope from a table, you will find how the y-values change to the next and divide that by how the x-values change to the next.

• Looking at the y-values -11 to -8, the number is getting closer to zero so you have to be adding.  You're adding 3.

• Looking at the x-values -5 to -2, the number is getting closer to zero so you have to be adding.  You're adding 3.

• To find the slope, you'll do 3 divide by 3 (3/3) and get 1

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Find the slope.

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Find the slope.

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Find the slope.

How to Find Slope From Two Points

Follow the step shown.

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Find the slope: (-1, 8) (0, 6)

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Find the slope: (9, 12) (8, 6)

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Find the slope: (- 3, - 5) (- 7, - 4)

Multiple Choice

Find the slope of the graphed line.

• -5/4

• 5/4

• -4/5

• 4/5

Multiple Choice

What is the slope of the table?

• -4

• 1

• 4

• -2

Multiple Choice

Find the slope of the line that passes through the points (2, 4) and (6, 12).

• 1/2

• -1/2

• 2

• -2

Multiple Choice

Find the slope of the line that passes through (-9, -6) and (-9, -10)

• 0

• Undefined

• -3

• -9

Multiple Choice

What is the slope of the graphed line?

• -2/3

• 3/2

• -3/2

• 2/3

Multiple Choice

Find the slope from the table:

• -2/5

• 5/-2

• 5/2

• 2/5

Multiple Choice

Find the slope of the graphed line.

• 1/2

• -1/2

• 2

• -2

Multiple Choice

Find the slope of the line containing the points (−6, 2) and (0, 4).

• 1/3

• 3

• -1/3

• -3