You can put this solution on YOUR website! One of the less advanced ways to find the slope for a linear equation (of two variables) in standard form is the let x=0 and find y; and let y=0 and find x. You can then use these two points to compute the slope between them.
As you study and gain some sophistication, you may learn that for a line equation in standard form ax+by=c, the slope is .
Another way of finding the slope is to convert from standard form into slope-intercept form, and read the slope directly from the resulting equation. The slope will be the coefficient of the x term.
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y=mx+b
the slope is m.