2x-3y=9 Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work.

Question

2x-3y=9  Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work.

mertsj · Answer

Find the x intercept by letting y = 0
Find the y intercept by letting x = 0

anonymous · Answer

To find the intercepts, put the equation into slope-intercept form: y=mx+b

Subtract 2x from both sides:$$-3y=9-2x$$Divide both sides by -3:$$y = \frac{2}{3}x-3$$
So now you can see that the slope is 2/3 and the y-intercept is -3 (which is what you would get for y if you let x=0. To find the x intercept, solve for x and then let y=0:$$x = \frac{3}{2}(y+3)$$So if y=0, x=9/2