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How do you find the slope of (0,0); (-2,7) without a graph?

Answer 1

Hazel Anglin

The slope is #-7/2# or #-3.5#.

To find the slope given two points without using a graph, we use the formula #"rise"/"run"#, or #(y_2-y_1)/(x_2-x_1)#.

Plug in the given points into the formula: #(7-0)/(-2-0) = 7/-2 = -7/2#

Therefore, the slope is #-7/2# or #-3.5#.

Hope this helps!

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Answer 2

Eva Abramson

To find the slope between two points (x₁, y₁) and (x₂, y₂) on a coordinate plane, you can use the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

Substitute the coordinates of the given points into the formula:

slope = (7 - 0) / (-2 - 0) = 7 / -2 = -7/2

Therefore, the slope of the line passing through the points (0,0) and (-2,7) is -7/2.

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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.