To identify the x-intercept, we must put the equation is Standard Form.
Standard Form: Ax+By=C
Algebraic Solving:
-1/2x+y=1/2x-1/2x+3
•We must subtract 1/2x from both sides to cancel it out from the right and move it to the left.
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-1/2x+y=3
•The equation is now in standard form: Ax+By=C.
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To identify the x-intercept, we will substitute zero in for y because we want to find where the line crosses or intercepts the x-axis, not the y-axis.
Set y=0
-1/2x+y=3
-1/2x+(0)=3
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-1/2x=3
-1/2x•-2/1=3•-2/1
• To cancel out a fraction, we use the reciprocal, meaning the fraction is just flipped. This cancels out fraction and leaves us with x.
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x=6/1
x=6.
Therefore, the line crosses the x-axis at (6, 0)