How do you find the slope of the line that passes through the given points (0, 6) and (20, 14)?

Answer 1

Use the slope formula to find #m=2/5#

Find the slope of the line through #(0,6)# and #(20,14)#

The formula for slope (#m#) is

#m=frac{color(red)(y_2)-color(blue)(y_1)}{color(red)(x_2) - color(blue)(x_1)}# where #(color(blue)(x_1), color(blue)(y_1))# and #(color(red)(x_2), color(red)(y_2))# are two points.

Let #(color(blue)(x_1), color(blue)(y_1)) = (color(blue)0, color(blue)6)# and #(color(red)(x_2), color(red)(y_2))=(color(red)(20), color(red)(14))#

#m=frac{color(red)(14)-color(blue)6}{color(red)(20)-color(blue)0]=8/20=2/5#

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

Answer 2

Ethan Adkins

To find the slope of the line passing through the given points (0, 6) and (20, 14), you can use the formula:

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

Substitute the coordinates into the formula:

[ m = \frac{{14 - 6}}{{20 - 0}} ]

[ m = \frac{{8}}{{20}} ]

[ m = \frac{{2}}{{5}} ]

So, the slope of the line passing through the given points is ( \frac{{2}}{{5}} ).

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.