can some one help i have been working on this all day i will give you a medal
A line has the given slope m and passes through the first point listed in the table . complete the table so that each point on the table lies on the line.
X 0 1 2 3
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A slope of 2, m = 2, is also a slope of 2/1.
Slope is the difference in y divided by the difference in x.
Slope is the ratio of the change in y to the change in x.
Since the slope is 2/1, that means that for every change of 1 in x, y changes 2.
You have point (0, 0)
To get to point (1, ?), how much did x change?
this is new to me can you explain
Look at this grid. Notice that the letter A is in the bottom left square.
Now I tell you that the letter A can move only according to the following rule:
A move is: go 1 square right and 2 squares up and stop there.
Can you copy my drawing and show me where the A would end up after one single move?
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a would end up here did i do it right
Good try, but you're a little off.
Here. One single square to the right, followed by 2 squares up, ok?
Great. Now I tell you to do one more move using the same rule. Where would A end up?
Wow. You're walking too fast!
Remember the rule is 1 square to the right followed by 2 squares up.
oh okay whats next?
This is the concept of slope.
in fact, the rule I gave for the moves of A is a slope of 2 or 2/1.
For each unit A moves to the right, it moves two units up.
The first point in your line is shown. (0, 0).
To find the next one, for x = 1,go 1 unit right, and go up 2 in y.
To find the following point, go 1 unit to the right, and 2 points up.
Keep doing this to get each new point.
i understand it now
It's the slope that is telling you this.
m = 2/1 = change 2 in y for each change of 1 in x.