Final answer:
The slope of the graph for the equation -2x + 6y = 24 is 1/3, and the y-intercept is 4, after rearranging the equation into slope-intercept form.
Step-by-step explanation:
To find the slope and y-intercept of the graph for the equation -2x + 6y = 24, we first need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. To do this, we solve for y:
-2x + 6y = 24
6y = 2x + 24
y = (2/6)x + (24/6)
y = (1/3)x + 4
Now the equation is in slope-intercept form, and we can clearly see that the slope (m) is 1/3, which is the coefficient of x, and the y-intercept (b) is 4, which is the constant term.
Therefore, the correct answer is not listed in the choices provided by the student. The slope is 1/3, and the y-intercept is 4.