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ASAP GEOMETRY PLZZZZ...

What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6?

y = –x + 8
y = –x + 6
y = x – 8
y = x – 6

User Rodzmkii
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1 Answer

2 votes

Answer:

B or D, depending on the given line

Explanation:

The x-intercept is when y = 0. So, we look for an equation that when y = 0, x = 6. A and C can be ignored because 8 - 6 ≠ 0.

B) y = -x + 6

Substitute: 0 = -6 + 6

Simplify: 0 = 0

D) y = x - 6 --> 0 = 6 - 6 --> 0 = 0

These both have the x-intercept of 6, so B and D are possible answers.

Since I am not given the slope of the given line, I can't fully answer the question, but I can tell you that If the slope of the original line is -1, then the slope of the perpendicular line is 1, and vise versa. (Perpendicular line's slope = negative reciprocal)

User Sean Howell
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