How do you find the slope for (2,5); (9,1)?

Answer 1

#m=-4/7#

Let #(2,5)# be #(x_1,y_1)# and #(9,1)# be #(x_2,y_2)#. Now, to find the slope we use this simple formula, #m=(y_2−y_1)/(x_2−x_1)# Substituting the values, we get, #m=(1−5)/(9−2)# #:.m=-4/7#

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Answer 2

Julia Adams

See a solution process below:

The formula for find the slope of a line is:

#m = (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 on the line.

Substituting the values from the points in the problem gives:

#m = (color(red)(1) - color(blue)(5))/(color(red)(9) - color(blue)(2)) = -4/7#

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Answer 3

Genesis Allen

-4/7

The equation of line passing though two points is given by # y-y_1=m(x-x_1)# where m is known s slope and it is given by #m=(y_2-y_1)/(x_2-x_1#

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Answer 4

Jace Anderson

To find the slope between two points (x₁, y₁) and (x₂, y₂), you can use the formula: slope = (y₂ - y₁) / (x₂ - x₁). Plugging in the given points (2,5) and (9,1), the slope is calculated as: slope = (1 - 5) / (9 - 2) = -4 / 7. So, the slope is -4/7.

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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.