Math Problem Statement

write a short steatement why i got this question wrong and how I know I did it correct this time 2-3 sentence statement Standard to Slope Intercept Form

Solution

"I initially got the question wrong because I miscalculated when converting the standard form Ax+By=CAx + By = C to the slope-intercept form y=mx+by = mx + b. Specifically, I made an error in isolating yy or dividing correctly by BB. This time, I carefully rearranged the equation, dividing each term appropriately, and verified the slope and y-intercept were consistent with the standard form."

Do you want to expand on this explanation or need further assistance?

Here are 5 questions for practice:

  1. How do you convert 3x+4y=123x + 4y = 12 to slope-intercept form?
  2. If given 2x+5y=15-2x + 5y = 15, what is the slope and y-intercept?
  3. Why is it important to isolate yy when converting to slope-intercept form?
  4. How does the slope in y=mx+by = mx + b compare to the coefficients in the standard form?
  5. What steps should you check to ensure your solution is correct after conversion?

Tip: Always double-check your arithmetic, especially when dividing terms to isolate yy.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b

Theorems

Solving for y
Isolating variables in linear equations

Suitable Grade Level

Grades 8-10