Question

2x-3y=9 Find slope- x-intercept- y-intercept-

Answer 1

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

Answer 2

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