The best way to figure this out is to rewrite the equation in to standard slope form:
y = mx + b
this would look like...
5y = -7x + 35
divide 5 from each side of the equation...
-7
y = —— x + 7
5
find the values you can graph...
b = y intercept = the point in which the line "hits" the y axis on the graph. so count 7 points up and plot a point on the y axis at 7.
once you plot that, this is the starting point of your slope...
-7 (rise) count 7 down
m = slope = —— (over)
5 (run) count 5 to the right
message me if you need anything to clarify or any other questions!