Question

use the slope and y-intercept sliders to graph the line \\(y = 6x - 2\\). check the show 2nd line box and click and move the red point to graph a parallel line l through the point \\((2,1)\\).

use the interactive figure to find your answer. use the left and right arrow keys to move along a slider as needed.
click here to launch the interactive figure.

which of the following points are on the line l?

a. \\((-5,1)\\)
b. \\((1,-5)\\)
c. \\((2,3)\\)
d. \\((-4,2)\\)

Explanation:

Identify the slope of the given line

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK0
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Determine the slope of parallel line L

Using the Parallel and Perpendicular Lines knowledge point

$$
LATEXBLOCK1
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Find the equation of line L

Using the Point-Slope Form knowledge point

$$
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Test the given options

Using the Linear Equations knowledge point

$$
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$$

Answer:

• A. \((-5,1)\)
• B. \((1,-5)\) (Correct answer)
• C. \((2,3)\)
• D. \((-4,2)\)