2x-3y=9

Find slope-

x-intercept-

y-intercept-

get the equation in slope intercept form

2x-3y=9

subtract 2x from each side

-3y = - 2x + 9

divide by - 3

y = 2/3 x - 3

slope = 2/3

y intercept = - 3

x intercept set y=0 and solve

0 = 2/3 x - 3

add 3 to each side

3 = 2/3 x

multiply each side by 3/2

9/2 = x

the x intercept is 9/2 or 4 1/2

Y=mx+b

y = (2x-9) / 3

y = (2/3) x-3

slope (m) = 2/3

finding x-intercept ...

if y=0

2x-3 (0) = 9

x=9/2

finding y-intercept ...

if x=0

2 (0) - 3y=9

y=-3