Change x + 2y = 6 into slope-intercept form.

The slope intercept form involves solving for y, such that the equation looks like this: y = mx + b, where m is a constant representing the slope of the line, and b is a constant representing the value of the y-intercept.

Starting with the equation x+2y=6 and subtracting x from both sides gives 2y = - x + 6.

If we then divide each term by 2, we get the final result of y = - 1/2x + 3.

Here we see that the slope (m) is equal to - 1/2, and the y-intercept (b) is 3.

y = - 1/2x+3