Question

Find the slope of a line whose equation is 3X+6Y=9

Answer 1

To find the slope of the above equation, it is easiest to put it into slope-intercept form, y=mx + b, where the variable m represents the slope. To do this, we must isolate the variable y on the left side of the equation by using the reverse order of operations. First, we should subtract 3x from both sides of the equation.

3x + 6y = 9

6y = -3x + 9

Next, we should divide both sides of the equation by 6 to undo the coefficent of 6 on the variable y.

y = -1/2x + 3/2

Therefore, the slope of the line is -1/2 (the coefficient of the variable x in slope-intercept form).

Hope this helps!