Question

What can be concluded about the line represented in the table? Select 3 options.

x
y
–6
–7
2
–3
8
0

The slope is 2.
The slope is One-half.
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

Correct choices (with brief work):

- The slope is One-half.
Slope between (-6,-7) and (2,-3) = (−3 − (−7))/(2 − (−6)) = 4/8 = 1/2 (same between other pairs).

- The y-intercept is −4.
Using y = (1/2)x + b and point (8,0): 0 = (1/2)(8) + b → b = −4.

- The points (−2, −5) and (8, 0) are also on the line.
(8,0) is given; for x = −2, y = (1/2)(−2) − 4 = −1 − 4 = −5, so (−2,−5) lies on the line.

The other options are false.