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Find the xx-intercept of the line 3x+20y=−243x + 20y = -24. 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 3x+20y=−243x + 20y = -24. 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 xx-intercept of the line, we need to set yy to 00 and solve for xx. This is because the xx-intercept is the point where the line crosses the xx-axis, and at this point, the value of yy is 00. So, we substitute 0000 into the equation 0011 and solve for xx. 0033 0044
  2. Substitute y=0y = 0: Now, we divide both sides of the equation by 33 to solve for xx.3x3=−243\frac{3x}{3} = \frac{-24}{3}x=−8x = -8

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