Answer:
- 5/3
Explanation:
The easy way to find the slope is to put the equation in slope-intercept form (y = mx + b) and find what number ends up in front of the variable x.
So we are going to take the equation 5x + 3y + 12 = 0 and isolate variable y by subtracting 5x and 12 and then dividing by 3 on both sides.
5x + 3y + 12 = 0
becomes
5x - 5x + 3y + 12 - 12 = 0 - 5x - 12
simplified to
3y = - 5x - 12
Then we divide by 3 to leave variable y alone:
3y = - 5x - 12
becomes
(3y) / 3 = (- 5x - 12) / 3
or
y = (- 5x / 3) - (12 / 3)
simplified to
y = -(5/3)x - 4 as your equation in slope-intercept form.
The number in front of the x variable (or m) is - 5/3, therefore this is your slope.