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What is the slope of the line represented by the equation 
3x-4y=7 ?

What is the slope of the line represented by the equation 3x4y=7 3 x-4 y=7 ?

Full solution

Q. What is the slope of the line represented by the equation 3x4y=7 3 x-4 y=7 ?
  1. Equation setup: To find the slope of the line represented by the equation 3x4y=73x - 4y = 7, we need to solve for yy to get the equation into slope-intercept form, which is y=mx+by = mx + b, where mm is the slope.
  2. Isolate terms with y: Subtract 3x3x from both sides of the equation to isolate terms with y on one side.\newline3x4y3x=73x3x - 4y - 3x = 7 - 3x\newline4y=3x+7-4y = -3x + 7
  3. Solve for y: Divide all terms by ext{4-4} to solve for y.\newliney = \frac{(3-3x + 77)}{4-4}\newliney = \left(\frac{33}{44}\right)x - \frac{77}{44}
  4. Identify the slope: Now that the equation is in slope-intercept form, we can identify the slope, which is the coefficient of xx.\newlineThe slope m=34m = \frac{3}{4}.

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