Question

Slope of the line that passes through (-2,7) and (3,-3)

Answer 1

Answer:

-2

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:

$x_{1}$ = -2

$y_{1}$ = 7

$x_{2}$ = 3

$y_{2}$ = -3

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

$\frac{7-(-3)}{-2-3}$

The numerator is 10 (the two negative signs become a positive) and the denominator is -5.

$\frac{10}{-5}$ can be simplified by dividing the numerator and denominator by -5 to give $\frac{-2}{1}$ or simply -2.

Therefore, the slope of the line is -2.