Question

Find the slope of a line that passes through points (–1, –5) and (6, 9). Question 2 options: A) 1∕2 B) –2 C) 4∕5 D) 2

Answer 1

Answer:

$D) 2$

Step-by-step explanation:

The slope of a line is used to describe the average rate of change. Often referred to as the ($\frac{rise}{run}$), the general formula to find the slope of a line is the following,

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

Where ($x_1,y_1$) and ($x_2,y_2$) are both points on the line. One is given that the following points are on the line,

$(-1, -5)\\\\(6, 9)$

Substitutes these values into the formula and solve for the slope,

$\frac{9-(-5)}{6-(-1)}$

Simplify, remember negative times negative equals positive,

$\frac{9+5}{6+1}$

Combine like terms,

$\frac{14}{7}$

Simplify further, remember a fraction is another way of representing division,

$2$