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Ainat [17]
2 years ago
14

Please help me somebody!!! I really struggle with this in math class!

Mathematics
1 answer:
Tresset [83]2 years ago
4 0

Answer:

y - 9 = -\frac{4}{3}(x - 3)  

Step-by-step explanation:

Given the points (3, 9) and (9, 1), we must first solve for the slope of the line before proceeding with writing the point-slope form.

In order to solve for the slope (<em>m </em>), use the following formula:

m = (y₂ - y₁)/(x₂ - x₁)

Let (x₁, y₁) =  (3, 9)

     (x₂, y₂) = (9, 1)

Substitute these values into the given formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 9)/(9 - 3)

m = \frac{-8}{6} = \frac{-4}{3}

Therefore, the slope of the line, m = -4/3.

Next, using the slope, m = -4/3, and one of the given points, (x₁, y₁) = (3, 9), substitute these values into the following point-slope form:

y - y₁ = m(x - x₁)

y - 9 = -\frac{4}{3}(x - 3)  ⇒ This is the <u>point-slope form</u>.

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If h(-8), find 1/3*h(x) = x^2-5x+7
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The value is 333

<h3>How to determine the function</h3>

From the information given, we have:

  • x = - 8
  • 1/3*h(x) = x^2-5x+7

Now, let's substitute the value of 'x' in the function:

1/3*h(x) = x^2-5x+7

1/ 3 × h(-8) = ( - 8)² - 5 ( -8) + 7

Make 'h ( -8)' the subject of formula

h ( -8) = \frac{( -8)^2 - 5(-8) + 7}{1/ 3}

h ( -8) = \frac{64 + 40+ 7 }{1/ 3}

Take the sum of the numerator

h ( -8) = \frac{111}{1/3}

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Learn more about algebraic expressions here:

brainly.com/question/723406

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