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Question 1094375: List any coordinates of y intercepts and coordinates of any x intercepts for 10x +3y=60
Found 3 solutions by ikleyn, greenestamps, josgarithmetic: Answer by ikleyn(52781) (Show Source): Answer by greenestamps(13200) (Show Source):
You can put this solution on YOUR website! First a note to tutor ikleyn. You have stated many times that English is not your first language; and often the awkward language you use in your responses shows it. You are not in a good position to criticize the language used in the questions students post.
To the person who posted the question: Since this is a linear equation, containing both x and y variables, there will be exactly one x intercept and one y intercept. However, grammatically it is still valid to ask for the coordinates of "any" intercepts.
And now to the math itself....
By definition, an x intercept is where the y value is 0; a y intercept is where the x value is 0. So in any equation (linear or not) where you are looking for x intercepts, set y=0 in the equation; and where you are looking for y intercepts, set x=0 in the equation.
For your example, to find the x intercept, set y=0 and solve:



The x intercept is 6, or (6,0).
To find the y intercept, set x=0 and solve:



The x intercept is 20, or (0,20).
Answer by josgarithmetic(39617) (Show Source):
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