Graph the equation 9 - x = 3/2y using slope-intercept form.
To graph the equation 9 - x = 3/2y, we first need to rearrange it into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
9 - x = 3/2y
3/2y = 9 - x
y = (2/3)(9 - x)
y = (2/3)9 - (2/3)x
y = 6 - (2/3)x
Now we can see that the slope of the line is -2/3 and the y-intercept is 6.
To graph this equation, start by plotting the y-intercept at (0, 6). From there, use the slope of -2/3 to find another point on the line. The slope -2/3 means that for every 3 units we move to the right on the x-axis, we must move 2 units down on the y-axis.
So, starting from (0, 6), move 3 units to the right and 2 units down to get the point (3, 4).
You can continue this process to find more points and then connect them to draw the line. The graph will be a downward-sloping line passing through the points (0, 6) and (3, 4).