SOLUTION: What would the y-intercept and pattern of change be in the following table? X: -4..-1..2..5..8..11..14 Y: -6...0..6..12..18..24..30

Question 786236: What would the y-intercept and pattern of change be in the following table?
X: -4..-1..2..5..8..11..14
Y: -6...0..6..12..18..24..30
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
As x increases by 3 from one value to the next in the table, y increases by 6.
The ratio of increase in y to increase in x is and is called the "slope" of the line. (It's a measure of the steepness of the y increase as x increases).
In between the numbers for x=-1 and x=2 in the table you could have:
for x=0 ---> y=2,
for x=1 ---> y=4
Those numbers (and the graph, see below) tell you that for x=0, when the graph crosses or "intercepts" the y-axis y=2. The point (0,2), and the y-value 2 at that point are called the y-intercept. WE ususlly just say the y value, because we know that x=0 for all ponts in the y-axis, so all y-intercepts have x=0.

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