Respuesta :

absor201

Answer:

The correct option is A....

Step-by-step explanation:

We have a table of x,y pairs. To compute the slope we can use any two pairs, say the first two, and plug them into our formula:

m = y2-y1 / x2-x1

m = 5-13/ 0-(-2)

m = -8/0+2

m = -8/2

m = -4

We can check this answer by using a different pair: Take the last two pairs.

m = -27-(-15)/ 8-5

m = -27+15/3

m = -12/3

m = -4

Thus the slope is -4

The correct option is A....

luisejr77

Answer: Option A

[tex]m=-4[/tex]

Step-by-step explanation:

First we calculate the slope for the first two values of the table:

[tex]x_1 = -2,\ y_1=13[/tex]

[tex]x_2 = 0,\ y_2=5[/tex]

The formula to calculate the slope m is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So

[tex]m=\frac{5-13}{0-(-2)}[/tex]

[tex]m=-4[/tex]

Now we calculate the slope for following values of the table:

[tex]x_1 = 0,\ y_1=5[/tex]

[tex]x_2 = 3,\ y_2=-7[/tex]

[tex]m=\frac{-7-5}{3-0}[/tex]

[tex]m=-4[/tex]

The slope is always the same, so the values in the table represent those of a linear function of slope [tex]m = -4[/tex]

Otras preguntas