SOLUTION: Suppose you graphed every single point of the form (2t + 3, 3-3t). For example, when t=2, we have 2t + 3 = 7 and 3-3t = -3, so (7,-3) is on the graph. Explain why the graph is a li

Algebra ->  Coordinate-system -> SOLUTION: Suppose you graphed every single point of the form (2t + 3, 3-3t). For example, when t=2, we have 2t + 3 = 7 and 3-3t = -3, so (7,-3) is on the graph. Explain why the graph is a li      Log On


   

Question 1068661: Suppose you graphed every single point of the form (2t + 3, 3-3t). For example, when t=2, we have 2t + 3 = 7 and 3-3t = -3, so (7,-3) is on the graph. Explain why the graph is a line, and find an equation whose graph is this line.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a line there is a linear relationship between the x and y coordinates.
Since both x and y have a linear t representation, you're in luck.
You can define the line as,
y=mx%2Bb
So starting with x,
x=2t%2B3
2t=x-3
t=%28x-3%29%2F2
Now substitute this into y,
y=3-3t
y=3-%283%2F2%29%28x-3%29
y=3-%283%2F2%29x%2B9%2F2
y=-%283%2F2%29x%2B15%2F2