A line has a slope of 8 and includes the points (q,
–
8) and (10,8). What is the value of q?
To find the value of q, we first need to calculate the slope of the line using the formula:
slope = (y2 - y1) / (x2 - x1)
Given the points (q, -8) and (10, 8), we can plug in the coordinates:
slope = (8 - (-8)) / (10 - q)
slope = (8 + 8) / (10 - q)
slope = 16 / (10 - q)
Since we know that the slope of the line is 8, we set the equation equal to 8 and solve for q:
16 / (10 - q) = 8
16 = 8(10 - q)
16 = 80 - 8q
8q = 64
q = 8
Therefore, the value of q is 8.