SOLUTION: Write the equation of the line with slope �2 and y-intercept (0, 0). Then graph the line.

Question 80954: Write the equation of the line with slope �2 and y-intercept (0, 0). Then graph the line.
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
For this problem you can use the slope-intercept equation. This equation has the form:
.

.
In this equation m represents the slope and b is the value on the y-axis where the graph
intersects the y-axis.
.
In this problem you are told that the slope is -2. And you are told that the graph goes through
the origin. This means that the graph intersects the y-axis at a y value of 0. This translates
to m = -2 and b = 0. Substituting these values into the slope-intercept equation results in
the equation becoming"
.

.
You can then simplify it by dropping the 0 to get the equation:
.

.
The fact that the slope is negative tells you that the graph goes down as you move to
the right.
.
You can now get some points on the graph by assigning values to x and computing the corresponding
values of y. For example, let x = -5. Plug that value in for x and the equation becomes:
.

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So when x is -5, then y = +10. This means the point (-5, +10) is on the graph.
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The problem tells you that (0, 0) is on the graph.
.
Then suppose that we let x = +5. Substituting this value into the equation results in:
.

.
This means that when x equals +5, the corresponding value of y is -10. So the point
(+5, -10) is on the graph. If you plot these three points you should see that they
lie on a straight line. Take a straight edge and line it on these points. Then extend a
line through all three points. When you do you should have a graph that looks like:
.

.
Hope this helps you to understand the problem and see how to get an answer.
.
Cheers
.
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