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How do you find the slope for (3,7) and (-2,11)?

Answer 1

Julia Adams

#color(indigo)(Slope = m = -(4/5)#

Knowing two points on a line, we can find the slope of the line using the formula

#Slope = m = (y_2 - y_1) / (x_2 - x_1)#

Given #(x_1, y_1) = (3,7), (x_2, y_2) = (-2,11)#

#m = (11 - 7) / (-2 - 3)#

#m = 4 / -5#

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Answer 2

Ethan Adkins

To find the slope for the points (3,7) and (-2,11), use the formula:

[ \text{slope} = \frac{{\text{change in } y}}{{\text{change in } x}} ]

Substitute the coordinates into the formula:

[ \text{slope} = \frac{{11 - 7}}{{-2 - 3}} ]

Simplify:

[ \text{slope} = \frac{{4}}{{-5}} ]

The slope is (-\frac{4}{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.