Final answer:
The slope of the line represented by the equation y/6 = 4/5(x - 3) is 24/5. It's found by isolating y and expressing the equation in slope-intercept form.
Step-by-step explanation:
The slope of the line represented by the equation y/6 = 4/5(x - 3) can be found by isolating y and putting the equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
To do this, we multiply both sides of the equation by 6 to get y = (24/5)(x - 3). We can simplify this equation to y = (24/5)x - (72/5), which reveals that the slope is 24/5. Just as Illustrated in Figure A1, the coefficient of the x term, m, represents the slope of the line.