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# determine the slope and the y intercept 10x+y+12=0

find slope and y intercept

Rewrite the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y value of the y intercept. Then, the slope is the change in the y values divided by the change in the x values.

m = (y2 - y1)/(x2 - x1) = [(mx2 + b) - (mx1 + b)]/(x2 - x1)

But, this is just [m(x2 - x1) + (b - b)]/(x2 - x1), or

m(x2 - x1)/(x2 - x1) = m
In order to answer this question, FIRST you need to write the equation ins slope intercept form.

Slope intercept is y = mx + b

the "m" is the slope
the "b" is the y interccept

So, let's put this in slope intercept form, by keeping y on one side by itself. We must move the 12 to the opposite side of the equation first, then I can rewrite the equation with the y on the left.

10x = y+12
10x - 12 = y + 12 - 12   (I am subtracting 12 from BOTH sides)
10x -12=y                   (the 12 cancels out so I have only y left)
y=10x-12            (remember the equation is interchangeable. If 3 + 2 = 5, then 5 = 3 +2. I can do                                    the  same with slope intercept form)

So, now that the equation is in slope intercept form, I can see that 10 is where the "m" goes, so the slope is 10. I can see that -12 is where the "b" goes, so the y intercept is -12.