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:
- First, we need to isolate y on one side of the equation: 5x - 4 = 3y.
- Divide all terms by 3 to solve for y: (5/3)x - (4/3) = y.
- 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.