Question

What can be concluded about the line represented in the table? Check all that apply.

X-6,2,8
Y-7,-3,0
The slope is 2.
The slope is 1/2.
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 in the line.

Answer 1

• The slope is 1/2
• The points (-2,-5) and (8,0) are also on the line

Explanation:

According to the table there are ordered pairs:

• (-6, - 7), (2, - 3), (8, 0)

Find the slope using two points:

• m = (- 3 - (-7)) / (2 - (-6)) = 4/8 = 1/2

Use one point to complete the equation:

• y - (-7) = 1/2(x - (-6))
• y + 7 = 1/2x + 3
• y = 1/2x - 4

So the slope is 1/2 and the y-intercept is (0, - 4)

Verify the points (-2, -5), (- 5, -2), (1, 10):

• -5 = 1/2(-2) - 4 ⇒ - 5 = - 1 - 4 ⇒ - 5 = - 5, yes
• -2 = 1/2(-5) - 4 ⇒ - 2 = - 2.5 - 4 ⇒ - 2 = - 6.5, no
• 10 = 1/2*1 - 4 ⇒ 10 = 0.5 - 4 ⇒ 10 = - 3.5, no

Now, correct answer choices are:

• The slope is 1/2
• The points (-2,-5) and (8,0) are also on the line