Final answer:
The slope-intercept form of the equation -6x+12y=36 is y=0.5x+3, which reveals that the slope is 0.5 and the y-intercept is 3.
Step-by-step explanation:
The question asks us to find the slope and y-intercept of the given linear equation: -6x + 12y = 36. First, we will convert the equation into slope-intercept form, which is y = mx + b, where 'm' represents the slope, and 'b' represents the y-intercept. To do this, we'll solve the equation for y.
Re-arranging the equation:
Add 6x to both sides: 12y = 6x + 36.
Divide both sides by 12 to isolate y: y = 0.5x + 3.
Now, we have the equation in slope-intercept form. The slope (m) is the coefficient of x, which is 0.5, and the y-intercept (b) is the constant term, which is 3.