Final answer:
To find the value of q, we can use the formula for slope and plug in the given coordinates. By solving the equation, we find that q is equal to 7.
Step-by-step explanation:
To find the value of q, we can use the formula for slope:
Slope = (y2 - y1) / (x2 - x1)
Using the coordinates (6,5) and (q, -5), we can plug these values into the formula and solve for q:
-10 = (-5 - 5) / (q - 6)
To solve for q, we can multiply both sides of the equation by (q - 6):
-10(q - 6) = -10
Distributing -10 on the left side, we get:
-10q + 60 = -10
Subtracting 60 from both sides, we have:
-10q = -70
Finally, we divide both sides by -10:
q = -70 / -10
= 7
Therefore, the value of q is 7.