Question

Find the slope of the line through points (5,2) and (-6,3).

Answer 1

Answer:

$-\frac{1}{11}$

Step-by-step explanation:

The slope of a line when given two coordinates can be found using the formula $\frac{y_{1} - y_{2}}{x_{1} - x_{2}}$

In this case, the first pair of coordinates are $x_{1}$ and $y_{1}$ and the second pair of coordinates are $x_{2}$ and $y_{2}$.

Therefore:

$x_{1}$ = 5

$y_{1}$ = 2

$x_{2}$ = -6

$y_{2}$ = 3

Next, just plug these values into the slope formula from above.

$\frac{2-3}{5-(-6)}$

The numerator is -1 and the denominator is 11 (the two negative signs become a positive).

Therefore, the slope of the line is $-\frac{1}{11}$

Answer 2

Answer:

-1/11

Step-by-step explanation:

The slope of a line when given two points is found by

m = (y2-y1)/(x2-x1)

    = (3-2)/(-6-5)

    =1/-11

   = -1/11