the x intercept is where the line crosses the x axis or where y=0
the y intercept is where the line crosses the y axis or where x=0
x intercept:
set y=0 and solve for x
2y+1=3x+5
2(0)+1=3x+5
1=3x+5
-4=3x
x=-4/3
x intercept is at (-4/3,0)
y intercept:
set x=0 and solve for y
2y+1=3x+5
2y+1=3(0)+5
2y+1=5
2y=4
y=2
y intercept is at (0,2)