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The slope of the line whose equation is 5x - 3y = 4 is4/55/3-3/5

User Saman Mohamadi
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1 Answer

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Final answer:

The slope of the line represented by the equation 5x - 3y = 4 is 5/3. This was determined by rearranging the equation into the slope-intercept form (y = mx + b) and identifying the coefficient of x as the slope.

Step-by-step explanation:

The student is asking for the slope of the line represented by the equation 5x - 3y = 4. To find the slope (m), we need the equation in slope-intercept form, which is y = mx + b. Here's how we can solve for it step by step:

  1. First, we need to isolate y on one side of the equation: 5x - 4 = 3y.
  2. Divide all terms by 3 to solve for y: (5/3)x - (4/3) = y.
  3. The slope-intercept form of a line is y = mx + b, where m is the slope. Comparing this to our equation, we can see that the slope (m) is 5/3.

User Volkmar Rigo
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