What is the slope of line m in the figure above? (1) w – q = 14

Target question: What is the slope of line m

Note: From the given figure, we can see that the slope of line \(m = \frac{w-q}{v-p}\)

So, the target question is really asking us to find the value of \(\frac{w-q}{v-p}\)

Statement 1: w – q = 14
This statement that tells us the value of the numerator in \(\frac{w-q}{v-p}\), but it provides no information about the denominator.
Statement 1 is NOT SUFFICIENT

Statement 2: p – v = −15
Multiply both sides of the equation by (-1) to get: -p + v = 15
Rearrange to get: v - p = 15
So, statement 2 tells us the value of the denominator in \(\frac{w-q}{v-p}\), but it provides no information about the numerator .
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us the value of the numerator in \(\frac{w-q}{v-p}\).

Statement 2 tells us the value of the denominator in \(\frac{w-q}{v-p}\).

So, the statements COMBINED provide sufficient information to find the slope of the line.

Answer: C

Cheers,
Brent