Chapter 13, Problem 6CR

To determine

To calculate: slope of the line

Answer to Problem 6CR

Slope of the line is obtained as, $-\frac{1}{4}$

Explanation of Solution

Given information: the line pass through $(-5,-1)$ and $(15,-6)$

Formula used: slope of a line passing through two point is $\frac{y_2-y_1}{x_2-x_1}$

Calculation: let the coordinate are $(x_1,y_1)$ and $(x_2,y_2)$

Then comparing with the given coordinate we have $x_1=-5$ ,

  $y_1=-1$ , $x_2=15$ and $y_2=-6$

Now, using this in formula we have $\frac{-6-(-1)}{15-(-5)}=-\frac{5}{20}$

Which is equal to $-\frac{1}{4}$ ,

Hence slope of the line is $-\frac{1}{4}$