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Determine if lines q and v are parallel.

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Part 1
Select the correct choice below and fill in the answer​ box(es) to complete your choice.
A.
The slope of line q is enter your response here​, and the slope of line v is enter your response here. Since the product of their slopes is not minus−​1, lines q and v are not parallel.
​(Simplify your​ answers.)
B.
Since both lines have a slope of enter your response here​, lines q and v are parallel.
​(Simplify your​ answer.)
C.
The slope of line q is enter your response here​, and the slope of line v is enter your response here. Since the slopes are​ different, lines q and v are not parallel.
​(Simplify your​ answers.)
D.
The slope of line q is enter your response here​, and the slope of line v is enter your response here. Since the product of their slopes is minus−​1, lines q and v are parallel.
​(Simplify your​ answers.)
.
.
.
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1 answer

To determine if lines q and v are parallel, we need to find the slopes of both lines and compare them. Lines are parallel if and only if they have the same slope.

  1. Identify lines q and v: First, we need to get the equations of lines q and v from the given graph or any additional information that you might have about them. Lines might be given in slope-intercept form (y = mx + b) or can be determined from points on the graph.

  2. Calculate the slope: If we have the coordinates of two points on each line or the equation of the lines, we can calculate the slope with the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] where \((x_1, y_1)\) and \((x_2, y_2)\) are points on the line.

  3. Comparing slopes:

    • If the slopes are equal, the lines are parallel (This corresponds to option B).
    • If the slopes are different, the lines are not parallel (This corresponds to option C).
    • If the product of their slopes is -1, they are perpendicular (This corresponds to options A and D).

To provide the correct option, I would need the slopes of lines q and v. If you supply the necessary information (like coordinates or equations), I can help you find the slopes and determine if the lines are parallel or not.

Without the actual values for the slopes or equations, I can’t fill in the response boxes. Please provide details about lines q and v to proceed!