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Find the xx-intercept of the line 7x+12y=−147x + 12y = -14. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

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Standard form: find x- and y-interceptsright chevron icon

Full solution

Q. Find the xx-intercept of the line 7x+12y=−147x + 12y = -14. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
  1. Set yy to 00: To find the x-intercept of the line, we need to set yy to 00 and solve for xx. This is because the x-intercept is the point where the line crosses the x-axis, and at this point, the value of yy is 00.\newlineCalculation: Substitute y=0y = 0 into the equation 7x+12y=−147x + 12y = -14.\newline7x+12(0)=−147x + 12(0) = -14\newline0000
  2. Calculate x: Now, we solve for x by dividing both sides of the equation by 77.7x7=−147\frac{7x}{7} = \frac{-14}{7}x=−2x = -2

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