Find the slope and y-intercept of 6x-3y=9

rewrite as

y = 2x-3

and you can read off the slope and intercept

To find the slope and the y-intercept of the equation 6x - 3y = 9, we need to rearrange the equation into slope-intercept form, which is in the form of y = mx + b, where m represents the slope, and b is the y-intercept.

To convert the equation into slope-intercept form, follow these steps:

Step 1: Move the 6x term to the other side of the equation by subtracting 6x from both sides:
-3y = -6x + 9

Step 2: Divide the entire equation by -3 to isolate y:
(-3y) / -3 = (-6x + 9) / -3
y = 2x - 3

Now that the equation is in the form y = mx + b, we can identify the slope and y-intercept.

The coefficient of x (2) is the slope, which means the slope of the line is 2.

The constant term (-3) is the y-intercept, which tells us that the line intersects the y-axis at the point (0, -3).

Therefore, the slope of the line is 2, and the y-intercept is -3.