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Igoryamba
4 years ago
13

Find the point-slope equation for

Mathematics
1 answer:
Georgia [21]4 years ago
7 0

Answer:

The answer to your question is  y = -2x + 9

Step-by-step explanation:

A (9, 9)

B (-2, 13)

Process

1.- Find the slope

   m = \frac{y2 - y1}{x2 - x1}

   m = \frac{13 + 9}{-2 - 9}

  m = \frac{22}{-11}

         m = - 2

2.- Find the line equation

         (y - y1) = m (x - x1)

          y + 9 = -2 (x - 9)               y + ? = [  ] ( x + [ ])

          y + 9 = - 2x + 18

          y = - 2x + 18 - 9

          y = -2x + 9

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By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

<h3>How to solve an algebraic equation</h3>

In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:

  1. - 10 · x + 1 + 7 · x = 37     Given
  2. (- 10 · x + 7 · x) + 1 = 37   Associative property
  3. -3 · x + 1 = 37     Distributive property/Definition of subtraction
  4. - 3 · x = 36     Compatibility with addition/Definition of subtraction
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