Question 43666: Find the x-intercept and y-intercept of the equation 5x-3y=30. Thank you for any help available.
Found 2 solutions by tutorcecilia, checkley71:
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! 5x-3y=30
The y-intercept is represented by the points (0, b). This means that wherever the line crosses the y-axis, the value of x will automatically be zero and the value of y will be some integer.
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The x-intercept is represented by the points (a, 0). This means that wherever the line crosses the x-axis, the value of x will be some integer and the value of y will automatically be zero.
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So to find the x or the y-intercept, plug-in zero for either x or y and solve for the missing variable:
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5x-3y=30
Let x =0 and solve for y
5(0)-3y=30
-3y/-3=30/-3
y=-10
So, the y-intercept will be (0,-10).
5x-3y=30
Let y = 0 and solve for x
5x-3(0) =30
5x=30
x=6
So, the x-intercept will be (6, 0)
Answer by checkley71(8403)  (Show Source):
You can put this solution on YOUR website! 5X-3Y=30 OR 3Y=5X-30 OR Y=5/3X-10 THEN Y INTERCEPT =-10
SETTING Y=0 WE GET 0=5/3X-10 OR 5/3X=10 OR X=10/(5/3) OR X=10(3/5) OR X INTERCEPT=6
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