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

Answer:

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.

Step-by-step 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.