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Veronika [31]
3 years ago
7

What is the slope of the line that contains these points? xxx -4−4minus, 4 -3−3minus, 3 -2−2minus, 2 -1−1minus, 1 yyy 222 555 88

8 111111
Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0

Given:

The table of values is

x        y

-4      2

-3      5

-2       8

-1       11

To find:

The slope of the line that contains these points.

Solution:

From the given table consider any two point.

Let the line passes through the points (-4,2) and (-3,5). So, the equation of the line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-2=\dfrac{5-2}{-3-(-4)}(x-(-4))

y-2=\dfrac{3}{-3+4}(x+4)

y-2=\dfrac{3}{1}(x+4)

Using distributive property, we get

y-2=3x+12

y=3x+12+2

y=3x+14

Therefore, the required equation of line is y=3x+14.

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