To find the slope, the equation is: (y2-y1)/(x2-x1) so, substitute the values in. (-7,-2) (-4.1)
(1+2)/(-4+7)= 3/3 or slope=1
Now to find the equation.
y=mx+b
Plug the slope in
y=1x+b
Plug a point in such as (-4,1)
1=1(-4)+b
1=-4+b
b=5
So your equation is:
y=x+5
2007-02-25 06:16:35
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answer #1
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answered by bluefairy421 4
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The slope is (change in y)/(change in x)
For your 2 points, change in y is -2 - 1 = -3
change in x is -7 - (-4) = -7 + 4 = -3
So you have -3/-3 = 1 for the slope
2007-02-25 06:10:45
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answer #2
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answered by rscanner 6
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ok so first you need to know the slope intercept form equation, which is:
y=mx+b
x and y are a random point on the line, and m is ur slope, and b is the y intercept
so first, lets find the slope, or m, which is rise over run
(1--2)/(-4--7)=3/3=1, so ur slope is 1
so now you can plug that into ur equation
y=x+b
next we can plug in an x and y value, so we'll use the (-4,1) point, so:
1=-4+b, and if you simplify that its 5=b, so the y intercept is 5
and now ur equation is:
y=x+5
yayy
2007-02-25 06:13:55
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answer #3
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answered by pochacco90630 1
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The standard form of a linear equation is ax + by = c.
We need to determine a, b, and c.
Since (-7, -2) should satisfy the equation, we have
-7a - 2b = c.
Since (-4, 1) should satisfy the equation, we have
-4a + b = c.
Now we can equate them to obtain -7a - 2b = -4a + b.
We can rewrite as -3b = 3a. Thus, we need a = -b.
Let b = 1 and a = -1. From the second equation, we have
-4(-1) + 1 = c. Hence, c = 5. Therefore, the equation
we seek is -x + y = 5.
2007-02-25 06:24:53
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answer #4
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answered by I know some math 4
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Using m = (y2 - y1) / (x2 - x1)
Gradient, m = [1 - (-2) ] / [- 4 - (-7) ] = 3 / 3 = 1
Line passes thro` point (- 4,1) and has gradient m = 1.
Equation of line is given by using formula:-
y - b = m (x - a)
y - 1 = 1. (x - (- 4))
y - 1 = x + 4
y = x + 5
2007-02-25 06:26:12
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answer #5
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answered by Como 7
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y+2/(1+2)=x+7/-4+7
3(y+2)=3x+21
y+2=x+7
y=x+5 is the required equation
2007-02-25 06:12:44
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answer #6
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answered by raj 7
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Just ask yo teacha fa some help. I got an E (bad) in Algebra 2B, it is very hard, but I'm working towards at least a C.
2007-02-25 06:14:40
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answer #7
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answered by Chrishonda Alston 3
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slope = (y1-y2)/((x1-x2) The order of subtraction is the same for y and x.
2007-02-25 06:09:58
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answer #8
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answered by arbiter007 6
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