Question 940692: can you draw me the graph of
y=absolute value of -2x+6
thnk you
Answer by macston(5194)   (Show Source):
You can put this solution on YOUR website! In an Absolute Value problem, the line will turn at some point if values become negative.
In simple problems this often occurs where y=0 or x=0
We will first set y=0
0=-2x+6 Subtract 2x from both sides
2x=6 Divide both sides by 2
x=3, So one point on the graph will be (3,0)
Pick an x below 3, say 0, and solve the equation for y:
y=-2x+6
y=-2(0)+6
y=6, so the line crosses the y axis at 6 and goes to point (3,0)
Pick an x greater than 3, say 4, and solve again
y=-2x+6y=-2(4)+6
y=-8+6
y=-2 Since this is absolute value, we disregard the sign and plot point (4,2)
With these three points we can graph the equation from (0,6) to (3,0) to (4,2)
|
|
|
