Question 371266
This type of problem is made to seem more complex than it is.
7x=6y+24  
"Put on slope-intercept form" means solve for y.
7x=6y+24
6y = 7x - 24
y = (7/6)x - 4
The slope, m, is the coefficent of x
m = 7/6
That's all it takes.
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PS the y-intercept is the -4, or the point (0,-4)