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m_a_m_a [10]
2 years ago
13

(x + y)2 - (x - y)2​

Mathematics
1 answer:
seraphim [82]2 years ago
8 0
The answer will be 4y
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What is the slope of the line passing through the points (−3, −5) and (−1, −6)?
Virty [35]

Answer:

The slope of the line passing through the points (−3, −5) and (−1, −6) is -\frac{ 1 }{ 2 } (-0.5)

Step-by-step explanation:

Equation of a straight line:

y = mx + b where m is the slope and b is the y-intercept

(x1, x2) and (y1, y2) : (−3, −5) and (−1, −6)

Calculating Slope (m).

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

m = \frac{ (-6) - (-5) }{ (-1) - (-3) }

m = \frac{ -6 + 5 }{ -1 + 3 }

m = -\frac{ 1 }{ 2 }

we can take this a step further by finding the equation:

Now putting value of m in equation (i)

y = -0.5x + b

Calculating Y-intercept (b).

Lets choose the first point, (-3,-5) for calculating y-intercept:

y = mx + b

-5 = -0.5(-3) + b

-5 = 1.5 + b

-6.5 = b

b = -6.5

Now putting value of b in equation

y = -0.5x + -6.5

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