Question

What can be concluded about the line represented in the table? Check all that apply. x y –6 –7 2 –3 8 0 The slope is 2. The slope is . The y-intercept is –4. The y-intercept is 8. The points (–2, –5) and (8, 0) are also on the line. The points (–5, –2) and (1, 10) are also on the line.

Answer 1

B.The slope is 1/2

C.The y-intercept is -4.

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

Explanation:

Answer 2

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

`y-yo = m (x-xo)`
We have then:

`m = (y2 - y1) / (x2-x1) m = (-3 - 0) / (2-8) m = 1/2`
We choose an ordered pair:

`(xo, yo) = (8, 0)`
Substituting values:

`y-0 = (1/2) (x-8) y = (1/2) x - 4`

From here we conclude:

Intersection with y:
We evaluate x = 0 in the function:

`y = (1/2) (0) - 4 y = -4`

Slope of the line:

`m = 1/2`

Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5

`-5 = (1/2) (- 2) - 4 -5 = -1 - 4 -5 = - 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.