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Oduvanchick [21]
3 years ago
11

The slope of a line is 5, and you know it goes through the point (6, 2). Another point on the line goes through the y-coordinate

-3. Find the missing x-coordinate:
Mathematics
1 answer:
grigory [225]3 years ago
7 0
Y = mx + b
slope(m) = 5
(6,2)...x = 6 and y = 2
sub and find b, the y int
2 = 5(6) + b
2 = 30 + b
2 - 30 = b
-28 = b
so the equation for this line is : y = 5x - 28

y = 5x - 28.......when y = -3
-3 = 5x - 28
-3 + 28 = 5x
25 = 5x
25/5 = x
5 = x <==== ur x coordinate
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Answer:

\displaystyle x = \frac{216}{7}

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

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}<u />

<u />

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

  1. Cross-multiply:                     \displaystyle 6(2x - 2) = 19(x - 12)
  2. Distribute:                             \displaystyle 12x - 12 = 19x - 228
  3. Isolate <em>x</em> terms:                     \displaystyle -12 = 7x - 228
  4. Isolate <em>x</em> term:                      \displaystyle 216 = 7x
  5. Isolate <em>x</em>:                               \displaystyle \frac{216}{7} = x
  6. Rewrite:                                \displaystyle x = \frac{216}{7}
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