Final answer:
The student's equation '8/7x^(3/7) = 5' cannot be rewritten into the slope-intercept form as it is not a linear equation. The slope-intercept form applies to linear equations and is represented by 'y = mx + b', where 'm' is the slope and 'b' is the y-intercept.
Step-by-step explanation:
The student's question aims to rewrite the equation 8/7x^(3/7) = 5 into the slope-intercept form. However, the provided equation is not linear and cannot be simply converted to slope-intercept form as it involves a rational exponent. In slope-intercept form, we typically deal with a linear equation of the format y = mx + b, where m represents the slope, and b represents the y-intercept. A straight line has a constant slope, meaning for every unit increase in the x value, the y value increases by a fixed amount represented by the slope.
For example, in the equation y = 55x + 75, the slope is 55 suggesting that for every additional hour worked the labor charge increases by $55, and the y-intercept is 75 which is the initial charge before any hours are worked. Furthermore, the example in Figure A1 is a linear equation with a slope of 3 and a y-intercept of 9.
To address the student's equation, it would be necessary to elaborate that rewriting it to a typical slope-intercept form isn't applicable as it stands.