SOLUTION: want to solve y=-2-1/2x?

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Question 386384: want to solve y=-2-1/2x?
Answer by gwendolyn(128) About Me  (Show Source):
You can put this solution on YOUR website!
To graph a linear equation, start by putting the equation into slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept.
Your equation is almost in the right form; we just need to reorder the terms on the right hand side:
y=-2-%281%2F2%29x
y+=+-%281%2F2%29x+-+2, or
y+=+-%281%2F2%29x+%2B+%28-2%29
So, the slope (m) of the line is -%281%2F2%29 and the y-intercept is -2
The y-intercept means the line has a y value of -2 when x = 0.
This is enough to draw the line, but to make it easier to draw
we can also find the value of x when y = 0:
0+=+-%281%2F2%29x+-+2
0+%2B+2+=+-%281%2F2%29x+-+2+%2B+2
2+=+-%281%2F2%29x
2%2A%28-2%29+=+-%281%2F2%29%2A%28-2%29x
-4 = x
So the x intercept (the value of x when y = 0) is -4.
Now we have two points:
(-4, 0)
(0, -2)
You can use these two points to draw the following graph:

graph%28300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+%28-1%2F2%29x-2%29