I'll do the first three problems to get you started
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Problem 40
Plug in x = 0 to find the y intercept
x+y = 5
0+y = 5
y = 5 is the y intercept
Plug in y = 0 to find the x intercept
x+y = 5
x+0 = 5
x = 5 is the x intercept
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Answer: The x intercept is 5. The y intercept is 5.
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Problem 41
Use the same idea here as well
Plug in x = 0 to get
x-y = 5
0-y = 5
-y = 5
y = -5 is the y intercept
Now plug in y = 0 to solve for x
x-y = 5
x-0 = 5
x = 5 is the x intercept
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Answer: The x intercept is 5. The y intercept is -5.
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Problem 42
Plug in x = 0 and solve for y
3x+4y = 12
3(0)+4y = 12
0+4y = 12
4y = 12
y = 12/4
y = 3 is the y intercept
Plug in y = 0 and solve for x
3x+4y = 12
3x+4(0) = 12
3x+0 = 12
3x = 12
x = 12/3
x = 4 is the x intercept
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Answer: The x intercept is 4. The y intercept is 3.
