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Advocard [28]
3 years ago
13

Write the equation in point-slope form of the line that passes through the given point and has the given slope (4,-7); m= -1/4

Mathematics
1 answer:
kicyunya [14]3 years ago
6 0

Answer:

y + 7 = -1/4(x - 4)

General Formulas and Concepts:

<u>Algebra I</u>

Point-Slope Form: y - y₁ = m(x - x₁)  

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = -1/4

Point (4, -7)

<u>Step 2: Write Function</u>

y + 7 = -1/4(x - 4)

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One fifth of a number plus three times the number is equal to twice the number plus 42. What is the number
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Equation to find number's value: \frac{1}{5}n + 3n = 2n + 42

Number's value: n = 35


Explanation:

Let n be the unknown number for this problem.

One fifth of a number is the same as \frac{1}{5}n.

Three times the number is the same as 3n.

Twice the number plus 42 is the same as 2n + 42.

So, using the information we've gathered so far, we can create the equation that will provide us with n's value.

Equation: \frac{1}{5}n + 3n = 2n + 42

We can use this equation to find n's value.

You can subtract 2n from both sides to get the equation \frac{1}{5}n + n = 42, which is the same thing as the equation we were using.

Now add n and \frac{1}{5}n together to get 1\frac{1}{5}n.

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Now divide both sides by 1\frac{1}{5} to get n's value.

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