Answer :
Slope intercept form:
y= mx+b
Where:
m= slope
b= y-intercept
First, solve for y:
3x-5y=-9
-5y = -3x-9
y= (-3x-9)/-5
y= 3/5x+ 9/5
So, the x- intercept is when y=0
0 = 3/5x+9/5
Solve for x:
-9/5 = 3/5x
-9/5 * 5/3 = x
x = -3
x -intercept = (-3,0)