personyperson123456 personyperson123456
  • 04-06-2020
  • Mathematics
contestada

The table below shows some values that satisfy a linear function.


X Y
-5 0
-3 3
-1 6
1 9
3 12

What is the slope of the line that is represented by the values in the table above?

Respuesta :

Newton9022 Newton9022
  • 09-06-2020

Answer:

1.5

Step-by-step explanation:

Given the pair of points on the table.

Now the formula for slope, [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

To calculate the slope we only require two pair of points.

Let us take: [tex](x_1, y_1)=(-5,0)$ and (x_2, y_2)=(-3,3)[/tex]

[tex]m=\dfrac{3-0}{-3-(-5)}\\=\dfrac{3}{-3+5}\\=\dfrac{3}{2}\\m=1.5[/tex]

The slope of the linear function represented by the values in the table is 1.5.

Note: You can use any two set of values. The result will be the same.

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