What is the slope of the line passing through the following points: #(-2, -4) , (4,-1) #?

Answer 1

The slope, #m#, is #1/2#.

The equation for finding the slope when you have two points on a line is #m=(y_2-y_1)/(x_2-x_1)#, where #m# is the slope, #(x_1,y_1)# is one point, and #(x_2,y_2)# is the other point.

Point 1:#(-2,-4)# Point 2:#(4,-1)#

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

Substitute the known values into the equation.

#m=(-1-(-4))/(4-(-2))#

Simplify.

#m=(-1+4)/(4+2)#

Simplify.

#m=3/6#

Simplify.

#m=1/2#

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Answer 2

Eli Assouline

To find the slope of the line passing through the points (-2, -4) and (4, -1), you can use the formula for slope:

Slope (m) = (change in y) / (change in x).

Substituting the coordinates:

m = (-1 - (-4)) / (4 - (-2))

m = (3) / (6)

m = 1/2.

So, the slope of the line passing through the given points 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.