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Question 118868This question is from textbook McDougal Littell Algebra 1
: We are using McDougal Littrells Algebra 1 book for my math class. My teacher uses homework generated from a web site. I do not know the site so I'm having difficulty getting an explanation of it. Below are the instructions along with a few problems.
"Extra Practice 4.1
In 1-12, sketch the lines on the coordinate plane. Then find the point at which the lines intersect.
1.) x=3, y=2
2.) x=-2, y=4 "
I don't understand what I'm being asked to do; x and y in these problems are points on a graph rather than a line, and if they're treated as a slope and y intercept- it still only graphs a single line (which will intersect with nothing!) What am I missing here?
This question is from textbook McDougal Littell Algebra 1
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! 1) Find the point of intersection of:
x = 3 and y = 2
When you graph these equations, you get two lines.
Think of it this way, suppose you were asked to plot all the points where x = 3 and y = any number. What would you see? A series of points that line up vertically at 3 units to the right of the y-axis. Now draw a line connecting these point and you would have your vertical line at a distance of +3 from the y-axis.
Similarly for y = 2, except that the series of points and the line would be horizontal and lie at a distance of +2 above the x-axis.
From x = 3 you get a vertical line that passes through the point x = 3 which contains all the points of x = 3 (notice that no mention is made of the y's because this line actually contains all values of y).
From y = 2 you get a horizontal line that passes through the point y = 2 and which contains all the points of y = 2.
The intersection is, of course, the point (3, 2)
2) Similarly for x = -2 and y = 4
For x = -2 you get a vertical line that passes through the point x = -2.
For y = 4 you get a horizontal line that passes through the point y = 4
The intersection is at the point (-2, 4)
You should draw these lines on your graph paper to see this.
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