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hram777 [196]
3 years ago
10

Find the slope of the line passing through the points (-4,-5) and (3,-5).

Mathematics
1 answer:
satela [25.4K]3 years ago
6 0

Answer:

The slope of the line is 0, that is, it is a horizontal line.

Step-by-step explanation:

Slope of a line:

The slope of a line having two points in the format (x,y) is given by the change in y divided by the change in x.

(-4,-5) and (3,-5).

Change in y: - 5 - (-5) = -5 + 5 = 0

Change in x: 3 - (-4) = 3 + 4 = 7

0/7 = 0

The slope of the line is 0, that is, it is a horizontal line.

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den301095 [7]

Answer:

Part A)

The equation in the point-slope form is:

y-11=\frac{4}{3}\left(x-\left(-2\right)\right)

Part B)

The graph of the equation is attached below.

Step-by-step explanation:

Part A)

Given

  • The point = (-2, 11)
  • m = 4/3

The point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

Here, m is the slope and (x₁, y₁) is the point

substituting the values m = 4/3 and the point (-2, 11)  in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y-11=\frac{4}{3}\left(x-\left(-2\right)\right)

Thus, the equation in the point-slope form is:

y-11=\frac{4}{3}\left(x-\left(-2\right)\right)

Part B)

As we have determined the point-slope form which passes through the point (-2, 11) and has a slope m = 4/3

The graph of the equation is attached below.

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