Does anyone know a handy memory trick for remembering how to solve for slope and y-intercept? Also I've forgotten the formula for slope. Could someone remind me?

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You need to solve for y first.  Since there are 2 variables, I tell my students to circle the y so they focus on that. The generic slope intercept form is:  y = m x + b One day my students asked me why did they use the letter m for slope and b for the y-intercept..... I drew an equilateral triangle around the m... it them looked like a Mountain....  and motains have slopes!  If you go 'up' the mountain from left to right, then it is a positive slope.... going down the mountain from L-R is a negative slope, and the bottom of the mountain (base of the triangle) I put a big circle on it for the bear cave.... that is a slope of zero. The 'b' I draw sloppy.... the down stroke reminds me that it is the y axis....  the circle loop reminds me of a circled point on the y-axis.... the y-intercept!  This is the point where the graph crosses the y-axis. How's that??