How do you find the value of x for which lines p and q are parallel, given that the slopes m1 and m3 are 9x and 117, respectively?

To determine the value of x for which the lines p and q are parallel, you must understand that two lines are parallel if their slopes are equal. In this case, the slopes are given as:

• m₁ = 9x
• m₃ = 117

Since the lines are parallel, we can set the slopes equal to each other:

9x = 117

Now, we can solve for x. To isolate x, divide both sides of the equation by 9:

x = 117 / 9

Calculating the right side:

x = 13

Thus, the value of x for which the lines p and q are parallel is 13.

In summary, you set the slopes equal to each other and solved for x. If you need further clarification or additional problems, feel free to ask!