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7nadin3 [17]
3 years ago
12

Enter the equation of the line in slope-intercept form.

Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

y=5x-23

Step-by-step explanation:

Slope-intercept form is: y=mx+b

'm' is the slope.

'b' is the y-intercept.

<h3>What we know:</h3>
  • We are given the slope of 5.
  • We are given a coordinate. (5,2)
<h3>What we need to do:</h3>
  • We will use the coordinate and the slope to complete the equation.
<h3>Solving The Equation:</h3>

We are already given the slope of five. So, m = 5.

We are given a coordinate. So, to solve the y-intercept, we will use:

x = 5

y = 2

2=5(5)+b\\\rightarrow5*5 =25\\2=25+b\\\rightarrow 2-25=25-25+b\\\boxed{-23=b}

So, the y-intercept should be -23.

<h3>Your answer should be:</h3>

y=5x-23

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3 years ago
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Tresset [83]

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Step-by-step explanation:

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4 0
3 years ago
5x + 3 - 2x = 12 + 7x - 2 solution ??? SOMEONE HELPPP PLEASE !!
tensa zangetsu [6.8K]

Answer:

x = -7/4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

5x + 3 - 2x = 12 + 7x - 2

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                                                                                        3x + 3 = 7x + 10
  2. [SPE] Subtract 3x on both sides:                                                                    3 = 4x + 10
  3. [SPE] Subtract 10 on both sides:                                                                      -7 = 4x
  4. [DPE] Divide 4 on both sides:                                                                         -7/4 = x
  5. Rewrite:                                                                                                           x = -7/4

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                     5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
  2. Multiply:                                -35/4 + 3 + 7/2 = 12 - 49/4 - 2
  3. Add:                                      -23/4 + 7/2 = 12 - 49/4 - 2
  4. Add:                                      -9/4 = 12 - 49/4 - 2
  5. Subtract:                               -9/4 = -1/4 - 2
  6. Subtract:                               -9/4 = -9/4

Here we see that -9/4 does indeed equal -9/4.

∴ x = -7/4 is the solution to the equation.

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mart [117]

Answer:

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Step-by-step explanation:

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For example, he could have a 4 by 4 patio, 5 by 5, etc.

121 happens to be the square of 11. In other words, 11*11=121!

So, Luke can fit 11 tiles along each side of his patio.

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