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Lynna [10]
3 years ago
9

Find the slope of the line that passes through the points (-1, 1) and (2, 7).

Mathematics
2 answers:
klasskru [66]3 years ago
7 0

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (2, 7)

m = \frac{7-1}{2+1} = \frac{6}{3} = 2

Kruka [31]3 years ago
6 0

Answer:

2 is your slope

Step-by-step explanation:

Find the slope. Use the slope-formula:

<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-1 , 1)

(x₂ , y₂) = (2 , 7)

Plug in the corresponding numbers to the corresponding variables:

<em>m </em>= (7 - 1)/(2 - (-1))

Simplify:

<em>m</em> = (6)/(2 + 1)

<em>m</em> = 6/3

<em>m </em>= 2

2 is your slope (or <em>rise</em> 2, <em>run </em>1).

~

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Find the roots

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we use hmm, completing the suare
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-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
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square root both sides, remember to take positive and negative square roots
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add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
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if the roots of a quadratic equation are r1 and r2 then it factors to
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so then we can factor our equation to be
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if we were to try and expand it, we would get
x²+0.75x-0.5
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x²+0.75x-0.5 is answer
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