Question

What can be concluded about the line represented in the table? Check all that apply.

x
y
–6
–7
2
–3
8
0

Answer 1

The first thing we must do for this case is to find the equation of the line.

We have then:

We choose an ordered pair:

Substituting values:

From here we conclude:

Intersection with y:

We evaluate x = 0 in the function:

Slope of the line:

Point (-2, -5):

We evaluate the value of x = -2 and the value of y = -5

The equation is satisfied.

Point (8, 0):

It is part of the table, therefore belongs to the line.

Answer:

The slope is 1/2

The y-intercept is -4.

The points (-2, -5) and (8, 0) are also on the line.

Explanation: