Question

question 1 of 5 which of the equations below represents a line parallel to the y - axis? a. x=-y b. x = 4 c. x = y d. x = 4y

Explanation:

Step1: Recall line - axis parallel property

Lines parallel to the y - axis have the form \(x = k\), where \(k\) is a constant.

Step2: Analyze each option

• Option A: \(x=-y\) can be rewritten as \(y = -x\), which is a line with slope \(- 1\) passing through the origin.
• Option B: \(x = 4\) is of the form \(x=k\) (\(k = 4\)), so it represents a vertical line parallel to the y - axis.
• Option C: \(x = y\) is a line with slope \(1\) passing through the origin.
• Option D: \(x = 4y\) can be rewritten as \(y=\frac{1}{4}x\), which is a line with slope \(\frac{1}{4}\) passing through the origin.

Answer:

B. \(x = 4\)