y=mx+b
m=slope
b= y-intercept (where the line crosses the y-axis)
If you are asked to write an equation, just plug in the numbers for the slope(m) and the y-intercept(b).
If you are given a pair of coordinates and need to write an equation-for example, (0,2) (3,8)- do the following:
1.Find the slope of the equation
Slope formula...m=(y sub2- y sub1)÷(x sub2-x sub1)
In my example, (8-2)÷(3-0)=6÷3=2 slope=2
2.Write the part of the equation the you already know.
In this example, write y=2x+b
3.Substitute the values for x and y to find b. (Use any of the coordinate pairs)
In this case, I used the coordinates (3,8)... so 8=2*3+b
4.Solve for b.
In this example, b would be equal to 2
8=2*3+b
8=6+b
2=b
5.Write the equation in Slope-Intercept Form (y=mx+b)
In this example, y=2x+2
Hope this helps!
2006-12-20 09:59:01
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answer #1
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answered by XD 2
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y = mx + b
----- a line with a slope of 3 and a y-intercept of 2 has the equation y = 3x + 2.
Multiplying x by the slope and adding the y-intercept gave us the right equation for the line. As a matter of fact, this will work for any line that isn't vertical. (Vertical lines have to have different equations, because they don't have slopes.)
To get y, multiply x by the slope and add the y-intercept" in a simpler way. We can start by making the directions into an equation:
y = slope*x + y-intercept
Most people call the slope m and the y-intercept b. If we do that, we can rewrite our equation in a shorter form:
Now we can write an equation for almost any line! All we need to know is its slope and its y-intercept. For example, a line with a slope of 50 and a y-intercept of 32 would have the equation y = 50x + 32. And once we have our equation, we can use it to make all sorts of predictions, even if we don't need to find flies.
2006-12-20 09:29:17
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answer #2
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answered by DAVID C 6
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To write the equation of a line given the slope and the coordinates of one point on it.
For example: Write the equation of the line with slope 2 that passes through the point (1, −3).
Solution 1. The direct method. The equation will have the form
y = mx + b,
where a is the slope of the line.
In this example, we are given that m = 2. Therefore, the equation is
y = 2x + b.
Now we must determine b.
But we are given that (1, −3) is a point on that line. Those (x, y) coordinates, then, solve the equation:
−3 = 2· 1 + b
This implies
b = −5.
The equation of the line is
y = 2x − 5.
2006-12-20 09:28:09
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answer #3
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answered by The Answer Man 5
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A line with a slope of 3 and a y-intercept of 2 has the equation y = 3x + 2.
You just fill in for x or y, depending on what point on the x or y axis you're trying to locate.
2006-12-20 09:25:44
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answer #4
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answered by LGT 3
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slope=(3-5)/(-3-1) =-2/-4 =1/2
2016-05-23 01:57:27
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answer #5
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answered by Anonymous
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haha. i just learned this like yesterday okay. m is the slope and b is the y-intercept.
so this is an example of an equation
y=2x+2
so slope is 2/1 and the y-intercept is 2
to graph it plot 2 on the y intercept. then since the slope is 2 (2/1) it is rise over run so you would go up 2 and over 1. and then plot that point on the graph.
eh
sorry if its confusing
2006-12-20 09:27:12
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answer #6
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answered by Lovette 1
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How about Y= ax + b this is called slope intercept form
where (a) is your slope, and (b) is the point where the line crosses the (y) axis where x=0.
I hope that helps you.
looks like I type to slow again.
2006-12-20 09:28:13
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answer #7
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answered by Jungleroy 4
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all right. first of all you need to know wat all those variables mean.
y=y coordinate
m=slope
x=x coordinate
b=y intercept
suppose i had an equation such as y=-5/3x+1
i would plot a data point on (0, 1) because the one is where on the y axis the line crosses.
then, i would go down -5 spaces becuase negative means the opposite. if it was positive, you would move up.
after you move down five spaces, move three spaces to the right. if it was negative, you would go to the left. this is going to be your second point (3, -4).
2006-12-20 09:28:45
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answer #8
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answered by blah 4
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it's a line....ask ur question clearly, it's not an equation!
2006-12-20 09:53:10
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answer #9
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answered by farhang202001 1
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y-b=mx
2006-12-20 09:24:37
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answer #10
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answered by JustShootMe 2
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