How do you find the slope of (3,4)(4,6)?

Answer 1

#m=2#

We can use the gradient formula to solve this. In this we will call #(4,6)# point 2, and #(3,4)# point 1. Note that it doesn't matter which one we call point 1 or point 2, the answer will be the same

#m = (y2-y1)/(x2-x1)#

In the formula, (x1,y1) are the coordinates of the first point, (x2,y2) are the coordinates of the second point. #m# is the slope, and is what we're trying to find.

#m = (6-4)/(4-3)# #m = 2#

In passing, this is made possible by the fact that gradient is computed as rise/run, allowing us to determine the rise by the amount that it changes along the y axis and the run by the amount that it moves along the x axis.

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Answer 2

Isaiah Anthony

To find the slope of the line passing through the points (3,4) and (4,6), you use the formula:

[ \text{Slope} = \frac{{\text{Change in } y}}{{\text{Change in } x}} = \frac{{6 - 4}}{{4 - 3}} = \frac{2}{1} = 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.