Math Problem Statement

y-6=1/4(x+8)

Solution

We are given the equation:

y6=14(x+8)y - 6 = \frac{1}{4}(x + 8)

Let's solve for yy by following these steps:

  1. Distribute 14\frac{1}{4} on the right-hand side: y6=14x+14×8y - 6 = \frac{1}{4}x + \frac{1}{4} \times 8 y6=14x+2y - 6 = \frac{1}{4}x + 2

  2. Add 6 to both sides to isolate yy: y=14x+2+6y = \frac{1}{4}x + 2 + 6 y=14x+8y = \frac{1}{4}x + 8

Thus, the solution is:

y=14x+8y = \frac{1}{4}x + 8

This is the equation of a line in slope-intercept form, where the slope is 14\frac{1}{4} and the y-intercept is 8.

Would you like more details or further explanation?


Here are 5 related questions:

  1. What is the slope and y-intercept of the equation y=14x+8y = \frac{1}{4}x + 8?
  2. How do you convert a point-slope equation into slope-intercept form?
  3. What is the significance of the slope in linear equations?
  4. How would you graph the equation y=14x+8y = \frac{1}{4}x + 8?
  5. How do parallel lines compare in terms of their slopes?

Tip: In any linear equation, the coefficient of xx represents the slope, showing how steep the line is.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9