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When graphed in the standard (x, y) coordinate plane, the lines x = −5 and y = x − 5 intersect at what point?
  • a)
    (-5, -10)
  • b)
    (-5, -5)
  • c)
    (-5, 0)
  • d)
    (0, -5)
  • e)
    (0, 0)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
When graphed in the standard (x, y) coordinate plane, the lines x = &m...
The correct answer is A. To solve this problem, substitute the equation x = -5 into y = x - 5 to find the y-coordinate at which the lines x = -5 and y = x - 5 intersect (the x-coordinate is -5 because it is given that x = -5). Thus y = (-5)-5 = -10. The point of intersection is (-5, -10).
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Most Upvoted Answer
When graphed in the standard (x, y) coordinate plane, the lines x = &m...


Understanding the Equations

- The line x = -5 is a vertical line passing through the point x = -5 on the x-axis.
- The line y = x - 5 is a slanted line with a slope of 1 and a y-intercept of -5.

Finding the Intersection Point

- To find the intersection point of the two lines, we need to substitute x = -5 from the first equation into the second equation.
- Substituting x = -5 into y = x - 5 gives y = -5 - 5 = -10.
- Therefore, the intersection point of the two lines is (-5, -10).

Conclusion

- The lines x = -5 and y = x - 5 intersect at the point (-5, -10), which is option (a) in the given choices.
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When graphed in the standard (x, y) coordinate plane, the lines x = −5 and y = x − 5 intersect at what point?a)(-5, -10)b)(-5, -5)c)(-5, 0)d)(0, -5)e)(0, 0)Correct answer is option 'A'. Can you explain this answer?
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