Question

This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane.

Answer 1

From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0.

In this problem, when x increases by 20, y decays by 6, hence the slope is given by:

$m = -\frac{6}{20} = -0.3$

Then:

y = -0.3x + b.

When x = -54, y = 12, hence:

y = -0.3x + b

12 = -0.3(-54) + b.

b = -4.2.

Thus, the equation is:

y = -0.3x - 4.2.

The x-intercept is the value of x when y = 0, hence:

-0.3x - 4.2 = 0.

x = -4.2/0.3

x = -14

More can be learned about linear functions at brainly.com/question/24808124