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Zanzabum
3 years ago
6

(x1,y1) is (-4,-2) and (x2,y2) is (2,4)

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

Answer:

y = x+2

Step-by-step explanation:

(x1,y1) is (-4,-2) and (x2,y2) is (2,4)

Slope intercept form is y = mx+b

m = slope

b = add on

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substitute numbers

Slope = \frac{4-(-2)}{2-(-4)}

Two negatives = one positive

Simplify

Slope = \frac{4+2}{2+4}=\frac{6}{6}=1

The slope is 1

We can substitute y, x, and the slope

4 = 2*1 + b

4 = 2+b

b = 2

Slope intercept form is y = mx+b

Answer is y = x+2

Hope this helps :)

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Hello LovingAngel!

To find the slope, you can use the formulas \frac{rise}{run} as well as \frac{y^2-y^1}{x^2 - x^1}. I am using the latter to calculate and ensuring my answer with the former. 

[Note: (x,y) is the format for ordered pairs]

First pair:  value 1:(1,5) and value 2:(2,8) 
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The slope for (1,5) and (2,8) is 3(/1). 

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Checking work with \frac{rise}{run}
1. Slope: 3/1, meaning rise (y) +3 and run (x) +1.  (1,5) -> (1+1,5 + 3) -> (2,8) ✔
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Find the slope of the line passing through the points (8,-6) <br> and (4,-8)<br> .
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Answer:

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Step-by-step explanation:

To find slope, use the following equation

slope (m) = (y₂ - y₁)/(x₂ - x₁)

First, set each coordinate. Let:

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Plug in the corresponding numbers for the corresponding variables.

m = (y₂ - y₁)/(x₂ - x₁)

m = (-8 - (-6))/(4 - 8)

Simplify. Note that two negative signs would result in a positive sign.

m = (-8 + 6)/(4 - 8)

Combine like terms.

m = -2/-4

Simplify. Divide common factors from both the numerator and denominator.

m = (-2/-4)/(-2/-2) = 1/2

1/2 is the slope of the line

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