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For the following problems, construct a coordinate system and graph the inequality.
(
[link] ) As accurately as possible, label the coordinates of the points that have been plotted on the graph.
( [link] ) What is the geometric structure of the graph of all the solutions to the equation ?
straight line
( [link] ) In what form is the linear equation in two variables ?
general form
( [link] ) In what form is the linear equation in two variables ?
slope-intercept
( [link] ) If an ordered pair is a solution to a linear equation in two variables, where does it lie geometrically?
It lies on the line.
( [link] ) Consider the graph of . If we were to place our pencil at any point on the line and then move it horizontally to the right, how many units and in what direction would we have to move our pencil to get back on the line?
2 units up
For the following two problems, find the slope, if it exists, of the line containing the following points.
( [link] ) As we look at a graph left to right, do lines with a positive slope rise or decline?
rise
For the following problems, find the equation of the line using the information provided. Write the equation in slope-intercept form.
For the following problems, graph the equation of inequality.
(
[link] ) Reading only from the graph, determine the equation of the line.
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