How do you find the slope of the line through points (-9,8), (-13,13)?

Question

Nathan Axel · Accepted Answer

See the entire solution process below:

The slope can be found by using the formula: #m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))# Where #m# is the slope and (#color(blue)(x_1, y_1)#) and (#color(red)(x_2, y_2)#) are the two points on the line. Changing the values from the problem's points yields: #m = (color(red)(13) - color(blue)(8))/(color(red)(-13) - color(blue)(-9)) = (color(red)(13) - color(blue)(8))/(color(red)(-13) + color(blue)(9)) = 5/-4 = -5/4#

Kennedy Adams · Answer

undefined To find the slope of the line passing through two points (-9,8) and (-13,13), you can use the formula:

$$ \text{Slope} = \frac{y_2 - y_1}{x_2 - x_1} $$

Substitute the coordinates into the formula:

$$ \text{Slope} = \frac{13 - 8}{-13 - (-9)} $$

$$ \text{Slope} = \frac{5}{-4} $$

$$ \text{Slope} = -\frac{5}{4} $$

So, the slope of the line passing through the given points is $ -\frac{5}{4} $.

Abigail Allen · Answer

undefined To find the slope of the line passing through the points (-9, 8) and (-13, 13), you can use the formula for slope:

$$ \text{Slope} = \frac{y_2 - y_1}{x_2 - x_1} $$

Substitute the coordinates of the points into the formula:

$$ \text{Slope} = \frac{13 - 8}{-13 - (-9)} $$

$$ \text{Slope} = \frac{5}{-4} $$

$$ \text{Slope} = -\frac{5}{4} $$

Therefore, the slope of the line passing through the points (-9, 8) and (-13, 13) is -5/4.