Question 524236
For y-intercept
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2x+3y=15 
3y=-2x+15
3y/3=(-2x+15)/3
y=-2x/3 + 15/3
y=-2x/3 + 5

y-intercept = 5



For x-intercept
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2x=-3y+15
2x/2=(-3y+15)/2
x=-3y/2+15/2

x-intercept = 15/2


There is another way to find x and y intercepts.
At y-intercept x will be 0 likewise at x-intercept y will be 0

For y-intercept
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put x =0
2x + 3y = 15 
2(0)+3y=15
3y=15
3y/3=15/3
y=5
y-intercept 5


For x-intercept
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put y = 0
2x + 3y = 15 
2x + 3(0) = 15 
2x=15
x=15/2
x-intercept 15/2

Graph 
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{{{ graph( 500, 500, -10, 10, -10, 10,y=-2x/3+5) }}}