If lines Joined each given point on the graph to the origin, which points would be on lines that represent a unit rate greater t

Question

3 years ago

8

han the one
represented in the table?
x y
5 11
10 22
15 33
10
9
3
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1 answer:

Alja [10] · Answer 1 · 2023-02-02T06:06:43+03:00

The points (2, 8), (3, 9) and (4, 10) have a greater slope than the table

<h3>How to determine the points?</h3>

The table and the graph that complete the question are added as an attachment

Start by calculating the slope of the table using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (22 - 11)/(10 - 5)

m = 2.2

Next, we calculate the slope of each point on the graph when connected to the origin using:

m = y/x

So, we have:

(2,8) ⇒ m = 8/2 = 4

(3,9) ⇒ m = 9/2 = 3

(4,10) ⇒ m = 10/4 = 2.5

(5,8) ⇒ m = 8/5 = 1.6

(6,7) ⇒ m = 7/6 = 1.2

(7,6) ⇒ m = 6/7 = 0.9

By comparing the slopes with 2.2, we can see that only points (2, 8), (3, 9) and (4, 10) have a greater slope than the table

Hence, the points are (2, 8), (3, 9) and (4, 10).