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Math  /  Geometry

QuestionReview Question 23, *5.6.12
Find the equation of a line that is parallel to the line x=−17x=-17 and contains the point (−2,9)(-2,9).
The equation of the parallel line is □\square (Type an equation.)

Studdy Solution

STEP 1

1. The line x=−17 x = -17 is a vertical line.
2. A line parallel to a vertical line is also vertical.
3. The parallel line must pass through the point (−2,9)(-2, 9).

STEP 2

1. Identify the characteristics of the given line.
2. Determine the characteristics of the parallel line.
3. Write the equation of the parallel line.

STEP 3

Identify the characteristics of the given line x=−17 x = -17 :
- The line is vertical. - All points on this line have an x x -coordinate of −17-17.

STEP 4

Determine the characteristics of the parallel line:
- A line parallel to a vertical line is also vertical. - The parallel line must pass through the point (−2,9)(-2, 9).

STEP 5

Write the equation of the parallel line:
- Since the line is vertical and passes through (−2,9)(-2, 9), the equation is x=−2 x = -2 .
The equation of the parallel line is:
x=−2 \boxed{x = -2}

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