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Nataly_w [17]
3 years ago
11

Write a slope intercept equation for a line that passes through (-2,5) and (2,-7)

Mathematics
1 answer:
wlad13 [49]3 years ago
7 0

Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

First, find slope using the given coordinates. Formula for slope: y₁ - y₂ / x₁ - x₂.

Our coordinates are (-2, 5) and (2, -7). Plug them in and simplify.

5 - (-7) / -2 - 2

5 + 7 / -4

12/-4

-3

The slope is -3. The equation becomes y = -3x + b.

To find b, plug an (x, y) coordinate on the line in for x and y in the equation and solve. I'll use (-2, 5)

y = -3x + b

5 = -3(-2) + b

5 = 6 + b

-1 = b

The y-intercept is (0, -1). The equation can now be completed!

<h3>Answer:</h3>

y = -3x - 1

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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<u> </u>

<u>Algebra I</u>

Simple Interest Rate Formula: \displaystyle A = P(1 + rt)

  • <em>P</em> is principle amount
  • <em>r</em> is rate
  • <em>t</em> is time

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>P</em> = 100

<em>r</em> = 4% = 0.04

<em>t</em> = 10

<u>Step 2: Find Interest</u>

  1. Substitute in variables [Simple Interest Rate Formula]:                                 A = 100(1 + 0.04 · 10)
  2. (Parenthesis) Multiply:                                                                                      A = 100(1 + 0.4)
  3. (Parenthesis) Add:                                                                                            A = 100(1.4)
  4. Multiply:                                                                                                             A = 140
5 0
3 years ago
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