What is the equation of a line, in general form, with a point (-3,0) and an undefined slope? a)x+3=0; b)y+3=0; c)x-3=0; d)y-3=0

Giana Jensen

Giana Jensen

Answered question

2023-02-03

What is the equation of a line, in general form, with a point -3,0 and an undefined slope? Ax+3=0 By+3=0 Cx-3=0 Dy-3=0

Answer & Explanation

Lyric Yates

Lyric Yates

Beginner2023-02-04Added 3 answers

The ideal decision is A x+3=0
Explanation for the correct option:
Option (a): the equation of a line, in general form, with a point -3,0 with an undefined slope
A vertical line without a y-intercept has an unknown slope. So, a line with an undefined slope has the equation of the type x=a, where a is the x-intercept.
Since the point is given as -3,0.
So, the equation of the line is x=-3.
x+3=0
Hence, option (A) is correct.
The justification for the wrong choices is:
Options (B), (C), and (D): Since the equation of the line is x+3=0, options (B), (C), and (D) do not hold true.
Hence, options (B), (C), and (D are incorrect.
Therefore, option (A) is correct.

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