How do you find slope of line passing through (4,6) and (9,-2)?

Answer 1

The slope of a line between two points in the difference in the y coordinate values divided by the difference (taken in the same order) of the x coordinates.

Given the points #(4,6)# and #(9,-2)# #color(white)("XXXX")##Delta y = 6 - (-2) = 8# #color(white)("XXXX")##Delta x = 4-9 = -5# slope #= (Delta y)/(Delta x) = -8/5#

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Answer 2

Nathan Axel

To find the slope of a line passing through two points (x₁, y₁) and (x₂, y₂), you can use the formula:

Slope (m) = (y₂ - y₁) / (x₂ - x₁).

Substituting the given points, (4,6) and (9,-2), into the formula:

m = (-2 - 6) / (9 - 4) = (-8) / (5) = -8/5.

So, the slope of the line passing through (4,6) and (9,-2) is -8/5.

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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.