Answer:
slope: -2
y-intercept: 6
Explanation:
First, put the equation into slope intercept form.
Slope-intercept form: y = mx + b
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 6x from both sides:
3y + 6x (-6x) = 18 (-6x)
3y = -6x + 18
Next, divide 3 from both sides. Remember to divide from all terms:
(3y)/3 = (-6x + 18)/3
y = (-6x)/3 + (18)/3
y = -2x + 6
Slope-intercept form: y = -2x + 6
Again, note the slope-intercept form.
> Slope-intercept form: y = mx + b
The variables:
y = (x ,y)
m = slope
x = (x , y)
b = y-intercept
Your answers:
slope: -2
y-intercept: 6