SOLUTION: It contains a graph to find the constant of a slope. I know how to find the slope but not a constant, teacher is not helpful, he describes the problem so he knows it, which is not

Algebra ->  Graphs -> SOLUTION: It contains a graph to find the constant of a slope. I know how to find the slope but not a constant, teacher is not helpful, he describes the problem so he knows it, which is not       Log On


   



Question 123007This question is from textbook Algebra I
: It contains a graph to find the constant of a slope. I know how to find the slope but not a constant, teacher is not helpful, he describes the problem so he knows it, which is not helpful to children.
The problem shows a graphy with a blue line stretching from Q2's top left corner and reaching Q4's bottom right corner. In Q4 it shows a blue dot at
(2,-2) then another blue dot at (0,0) Then it says y= -x
I cannot seem to figure this out
This question is from textbook Algebra I

Found 2 solutions by checkley71, stanbon:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
SLOPE=(Y2-Y1)/(X2-X1)=(0+2)/(0-2)=2/-2=-1
+graph%28+200%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+y+=+-x%29+ (graph 200x200 pixels, x from -5 to 5, y from -5 to 5, y = -x).

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The problem shows a graphy with a blue line stretching from Q2's top left corner and reaching Q4's bottom right corner. In Q4 it shows a blue dot at
(2,-2) then another blue dot at (0,0) Then it says y= -x
-----------------
You have a line that passes thru (2,-2) and (0,0)
The slope = (change in y)/(change in x) = (-2-0)/(2-0) = -2/2 = -1
---------------------
The equation of the line can be written as y = mx + b
You know m=-1, and y=0 when x =0
--------
You substitute those values in the equation to find "b":
0 = -1*0 + b
0 = 0 +b
b = 0
------------
So the equation of the graph is y = (-1)x+0
or simply y = -x
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Hope that helps.
Cheers,
Stan H.