find slope and y intercept

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

Tutors, please sign in to answer this question.

# 3 Answers

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.**10x + y + 12 = 0

10x + y +12 -12 = -12

10x +y = -12

10x + y -10x = -12 -10x

y = -10x -12

The slope of the line will be -10, and y-intercept will be -12