Find the slope of the line that passes through (87, 91) and (88, -4).
1 answer:
<h2>Answer: slope = - 95</h2><h2>
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Step-by-step explanation:
The question gives us two points, (87, 91) and (88, -4), from which we can find the slope and later the equation of the line.
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<u>Finding the Slope</u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (91 - (- 4)) ÷ (87 - 88)
= - 95
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<em><u>Checking my answer:</u></em>
<em>Finding the Equation</em>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-4) = - 95 (x - 88)
y + 4 = - 95 (x - 88)
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
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The expression that models the length of the second leg of the triangle is <u>2x - 3.</u>
<u><em>Recall</em></u>:
The area of a triangle =
<em><u>Given</u></em>:
Area of triangle =
Length of one of the legs = 3x + 1
Therefore, it means that multiplying both legs should give us:
To find the expression that models the other leg, divide by 3x + 1:
- <em>Thus</em>:
- Factorize the numerator
- Simplify
Therefore, the expression that models the length of the second leg of the triangle is <u>2x - 3.</u>
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