Question 1077648: Can you show me step by step how to solve the Multiple Representations for the Process y = 3x + 1. They show example like:
y = 3x + 1
y = 3(0) +1
y=0+1
y=1
ordered pair (0,1)
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website! You have an equation in slope-intercept form. You solve to be able to GRAPH it, so begin by drawing a cross in a piece of paper, and call the vertical line y and the horizontal x.
To solve, we need to find two ordered pairs (x, y) (x, y):
y = 3x+1 here the vertical line y equals 3 times the variable horizontal line x, and 1 is the intercept (where x crosses the y line)
Set x to 0:
y = 3(0)+1 3 times 0 = 0, so you get:
y = 1
now we have our first ordered pair: (0, 1)
Next, solve for x:
y = 3x+1
flip it around:
3x+1 = y
subtract 1 from both sides:
3x = y-1
divide both sides by 3
x = (y/3)-(1/3)
set y to 0
x = (0/3)-1/3
zero divided by any number is zero, so now we have:
y = 0-1/3 = -1/3
Now we have a second ordered pair: (-1/3, 0) or in decimals: (-0.333, 0)
Mark both points (0, 1) (-0.333, 0) and draw a line joining the two points. Now you've got a graphical representation of y = 3x+1 like the one I made you below.
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