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2 years ago

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

Mathematics

2 answers:

Elina [12.6K]2 years ago

8 0

Answer:

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

Step-by-step 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

motikmotik2 years ago

6 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.

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Step-by-step explanation:

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The ratio of the the number of Sally's stickers to the number of Eric's stickers was 3:5. Sally then brought another six sticker

Ne4ueva [31]

Answer: Eric has 20 stickers

=========================================================

Explanation:

x = number of stickers Sally starts with

y = number of stickers Eric has

x/y is the ratio of the two values. This ratio is 3/5. So x/y = 3/5 which cross multiplies to 5x = 3y. We can divide both sides by 5 to end up with x = 3y/5

"Sally the bought another six stickers" meaning she starts with x and bumps up to x+6. Eric's sticker count stays the same. The ratio is now (x+6)/y. We can replace the x with 3y/5 and simplify

(x+6)/y = (3y/5+6)/y

(x+6)/y = (3y/5+30/5)/y

(x+6)/y = [ (3y+30)/5 ]/y

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(3y+30)/(5y) = 9/10

10(3y+30) = 9(5y) ... cross multiply

30y+300 = 45y

300 = 45y-30y

300 = 15y

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Eric has 20 stickers. At this point you can stop as your teacher doesn't seem to want to know Sally's count. However, I'll keep going to show how to get that value.

x = 3y/5

x = 3*20/5 ... replace y with 20

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Roman55 [17]

Answer:

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Step-by-step explanation:

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