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​Algebra 1   State Test Practice

Identifying slope to determine the line

1/27/2015

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The ordered pairs (20, -29.5), (21, -31), and (22, -32.5) are points on the graph of a linear equation.
Which of the following graphs show all of the ordered pairs in the solution set of this linear equation?
Picture

Find the slope of the line going through two of the points and then match that slope with one of the graphs.

y2 - y1
--------- = slope of a line
x2 - x1

(21, -31) , (22, -32.5)   {two points}

-32.5 - (-31)
--------------- = slope   {substituted into the slope formula}
    22 - 21

-1.5
---- = slope   {simplified}
 1

 -3
-----   = slope   {changed to a fraction}
  2

Remember slope is rise over run.  Looking for the line with a vertical change of -3 and a horizontal change of 2.  In other words, find the line that goes down 3 for every 2 it goes to the right.

A.)

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