190k views
0 votes
The points (-8,3) and (6,q) fall on a line with a slope of -(6)/(7). What is the value of q ?

1 Answer

5 votes

Answer:

Explanation:

The formula for calculating the slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

Slope (m) = (y2 - y1) / (x2 - x1)

Given the points (-8, 3) and (6, q), and the slope m = -6/7, we can use the formula to solve for q:

m = (q - 3) / (6 - (-8))

-6/7 = (q - 3) / (6 + 8)

-6/7 = (q - 3) / 14

Now, cross-multiply to solve for q:

-6 * 14 = 7 * (q - 3)

-84 = 7q - 21

7q = -63

q = -63 / 7

q = -9

So, the value of q is -9.

User Ralixyle
by
9.7k points

No related questions found