Give an example of parallel lines in the real world. Then describe how you could prove that the lines are parallel.
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Answer:
Step-by-step explanation:
<u><em>The complete question is</em></u>
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded. Which system of linear inequalities is represented by the graph?
step 1
Find the inequality of the first solid line
we have the points (0,3) and (3,4)
The slope is
The y-intercept is the point (0,3)
so
The equation in slope intercept form is equal to
Remember that everything above the line is shaded and is a solid line
so
step 2
Find the inequality of the second line
we have the points (0,-2) and (1,1)
The slope is
The y-intercept is the point (0,-2)
so
The equation in slope intercept form is equal to
Remember that everything to the right of the line is shaded and is a dashed line
so
Rewrite
----->
therefore
The system of inequalities is