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Dmitrij [34]
3 years ago
9

Identify the slope and y-intercept of the line!

Mathematics
1 answer:
marta [7]3 years ago
5 0

Slope of the line = \frac{1}{2}.

y-intercept of the line = -7.

Solution:

General form of equation of a line:

y = mx + c

where m is the slope and c is the y-intercept of the line.

Equation of a line:

$y=\frac{1}{2} x-7

To compare this with general equation.

$m=\frac{1}{2}

c=-7

Slope of the line = \frac{1}{2}.

y-intercept of the line = -7.

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Answer:

(0, -3)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define Systems</u>

6x - 5y = 15

x = y + 3

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

<em>Substitution</em>

  1. Substitute in <em>x</em>:                                                                                                  6(y + 3) - 5y = 15
  2. Distribute 6:                                                                                                    6y + 18 - 5y = 15
  3. Combine like terms:                                                                                        y + 18 = 15
  4. [Subtraction Property of Equality] Subtract 18 on both sides:                     y = -3

<u>Step 3: Solve for </u><em><u>x</u></em>

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