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

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.

The slope is 1/2

The y-intercept is -4.

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

Step-by-step explanation:

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