Question

The points (-4, -23) and (4, r) lie on a line with slope 3. Find the missing coordinate r.

A) 1
B) 2
C) 3
D) 4

Answer 1

To find the missing coordinate r, we use the slope formula with the given points and slope to obtain r = 1.

Step-by-step explanation:

The question involves finding the missing coordinate r for a point that lies on a line with a given slope. To do this, we use the slope formula, which is (y2 - y1) / (x2 - x1) = slope. We have the slope (3), one point (-4, -23), and part of the second point (4, r). We can plug these values into our formula:

(r - (-23)) / (4 - (-4)) = 3,
which simplifies to
(r + 23) / 8 = 3.

Multiplying both sides by 8 gives us r + 23 = 24, and subtracting 23 from both sides gives us r = 1.

Therefore, the missing coordinate r is 1.