Graph the equation 9−x=3/2y using slope-intercept form.(1 point)
To graph the equation 9-x = (3/2)y, we first need to solve for y to put the equation in slope-intercept form, which is y = mx + b.
Rearranging the equation, we have:
(3/2)y = 9 - x
Dividing both sides by (3/2), we get:
y = (2/3)(9 - x)
Simplifying further, we have:
y = (2/3)(9) - (2/3)(x)
y = (6 - 2x/3)
The equation is now in slope-intercept form, where the slope m = -2/3 and the y-intercept b = 6.
To graph this equation, plot the y-intercept (0, 6) and apply the slope to find a second point.
For example:
If x = 3, then y = (6 - 2(3)/3) = 4
This gives us a second point (3, 4).
Then draw a straight line passing through these two points to complete the graph.