An equals sign seems to be missing. If it is -10x=6y-30 then the slope is -5/3. If it is -10x+6y-30=0 then it is 5/3.
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If you mean: 5x-6y = 30 then y = 5/6x-5 whereas 5/6 is the slope and -5 is the y intercept
It is: y = -10x+14
The first step is to put this in the form, y = mx + b. Because then, m is your slope. So, solving the following for y: 5y - 10x = -15, y = 2x - 3. m = 2 in this case, so your slope is 2.
15y = 10x + 12 Divide both sides by '15' Hence y = (10/15)x + 12/15 Cancel down the fractions y = (2/3)x + 4/5 : This is the slope/intercept form. Hence the slope is 2/3 and the intercept is 4/5
If you mean slope of -10 and point of (1, 4) then the equation is y = -10x+14