How do you find the slope given (-4, -3) and (0,4)?

Answer 1

Slope: #7/4#
#color(white)("XXX")#This could be written as #1.75# but it is often more convenient to have the slope expressed as a ratio

By definition, the slope of a line between two points is the difference between the y-coordinate values divided by the difference between the x-coordinate values:

For the example with #(x,y)# coordinates #color(magenta)(""(-4,-3))# and #color(green)(""(0,4))# the slope is #color(white)("XXX")(Deltay)/(Deltax)=(color(magenta)(-3)-color(green)4)/(color(magenta)(-4)-color(green)0)=(-7)/(-4)=7/4(=1.75)#
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Answer 2

To find the slope given the points (-4, -3) and (0, 4), you can use the formula for slope:

(m = \frac{{y_2 - y_1}}{{x_2 - x_1}})

Substituting the coordinates of the given points:

(m = \frac{{4 - (-3)}}{{0 - (-4)}})

(m = \frac{{4 + 3}}{{0 + 4}})

(m = \frac{7}{4})

So, the slope of the line passing through the given points is ( \frac{7}{4} ).

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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.

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.

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.

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.

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