Question

9 - x = 3/2y in slope intercept form

Answer 1

To rearrange the equation 9 - x = 3/2y in slope-intercept form (y = mx + b), we need to solve for y.

First, let's isolate the y variable by getting rid of the 9 and x on the left side of the equation. We can do this by subtracting 9 from both sides:
9 - x - 9 = 3/2y - 9
-x = 3/2y - 9

To get rid of the fraction, we can multiply every term by 2:
-2x = 3y - 18

Now let's isolate the y term by subtracting 3y from both sides:
-2x - 3y = -18

Finally, let's rearrange the equation to have the y term alone on the left side:
-3y = 2x - 18

To get y alone, divide every term by -3:
y = (2/3)x + 6

Therefore, the equation 9 - x = 3/2y can be rewritten in slope-intercept form as y = (2/3)x + 6.