Find the slope of the line through $P ( 5,1 )$ and $Q ( 7,6 )$ .
A) $\frac { 1 } { 2 }$
B) $\frac { 5 } { 2 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 5 }$
E) $\frac { 11 } { 2 }$

Question

Quizplus · Accepted Answer

The slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by:

$$\frac{y_2-y_1}{x_2-x_1}$$

So, for the given points $P(5,1)$ and $Q(7,6)$, the slope is:

$$\frac{6-1}{7-5} = \frac{5}{2}$$

Therefore, the correct answer is B: $\frac{5}{2}$.

Find the Slope of the Line Through P(5,1)P ( 5,1 )P(5,1)

Find the Slope of the Line Through $P ( 5,1 )$