Question

Determine any data values that are missing from the table, assuming that the data represent a linear function.

Answer 1

Answer:

the answer is?

Step-by-step explanation:

Answer 2

Answer:

we conclude that:

• The value of missing x = 6

• The value of missing y = 21

Step-by-step explanation:

Given that the table represents a  linear function, so the function is a straight line.

Taking two points

• (-12, 17)

• (-10, 19)

Finding the slope between (-12, 17) and (-10, 19)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-12,\:17\right),\:\left(x_2,\:y_2\right)=\left(-10,\:19\right)$

$m=\frac{19-17}{-10-\left(-12\right)}$

$m=1$

Using the point-slope form to determine the linear equation

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

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 1 and the point (-12, 17)

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

$y - 17 = 1 (x - (-12)$

$y - 17 = x+12$

$y = x + 12+17$

$y = x+29$

Thus, the equation of the linear equation is:

$y = x+29$

Now substituting x = -8 in the equation

$y = x+29$

$y = -8+29$

$y = 21$

Thus, the value of missing y = 21 when x = -8

Now substituting y = 23 in the equation

$y = x+29$

$23 = x+29$

$x = 29 - 23$

$x = 6$

Therefore, the value of missing x = 6 when y = 23

Hence, we conclude that:

• The value of missing x = 6

• The value of missing y = 21