How do you find the slope of a line passing through the points (3, 1), (9, 4)?

Answer 1

The following formula can be used to determine the gradient of a line that passes through two points:

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

Were #m# is the gradient of the line. Therefore, let the point #(3,1)# = #(x_1,y_1)# and let the point #(9,4)# = #(x_2,y_2)#

By replacing the two points with their respective values, we obtain:

#m=(4-1)/(9-3)# Simplifying this, we get:

#m=(3)/(6)# #m=(1)/(2)#

Therefore the slope of the line is #1/2#.

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Answer 2

Genesis Allen

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).

Plugging in the coordinates (3, 1) and (9, 4), you get:

m = (4 - 1) / (9 - 3) = 3 / 6 = 1/2.

So, the slope of the line passing through the points (3, 1) and (9, 4) is 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.