Question

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.

Answer 1

Answer:

Is E) the points(-2,-5)and(8,0)are also

Answer 2

Answer:

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.

Step-by-step explanation: