Home > Algebra > Slope

What is the slope of the line between # (6, 13) # and # (14, -2 ) #?

Answer 1

Abigail Allen

The slope
#m=(-15)/(8)#

The points given are #(6,13) = color(blue)(x_1,y_1)#

#(14,-2) = color(blue)(x_2,y_2)#

The slope #m=(y_2-y_1)/(x_2-x_1)#

#m=(-2-13)/(14-6)#

#m=(-15)/(8)#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Isaiah Anthony

To find the slope of the line between the points (6, 13) and (14, -2), we use the slope formula:

[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} ]

Substitute the coordinates into the formula:

[ m = \frac{{-2 - 13}}{{14 - 6}} ]

[ m = \frac{{-15}}{{8}} ]

[ m = -\frac{{15}}{{8}} ]

So, the slope of the line between the points (6, 13) and (14, -2) is (-\frac{{15}}{{8}}).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.