Find the slope from the given equation. 3x + 6y= -18
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the equation:
3x + 6y = -18
Find the slope of the given equation.
Solution:
In order to find the slope of the given equation, we equate it in slope-intercept form, represented as,
y = mx + b
m = slope of the line
b = y-intercept
To do so, we solve for y. The first step is transpose 3x to the other side of the equation, then divide both sides by 6 in order to cancel out 6y, leaving behind y. Note that in transposing a number, the sign changes.
3x + 6y = -18
6y = -3x - 18
6y/6 = (-3x - 18)/6
y= -½x - 3
m = -½
Final answer:
The slope of the line is -½