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5 votes
This table gives a few (x, y) pairs of a line in the coordinate plane.

x...........y
48 -30
61 -45
74 -60

What is the x-intercept of the line?

User Fujiao Liu
by
5.5k points

2 Answers

6 votes

Answer:

(22, 0)

Explanation:

I got it right on khan

This table gives a few (x, y) pairs of a line in the coordinate plane. x...........y-example-1
User Gurkha
by
5.7k points
5 votes

Answer:

The x-intercept is : (22, 0)

Explanation:

From the table values, we determine that it is a straight line as there is a constant change in x and y values.

i.e.

Any previous value of y can be obtained by subtracting 15 from the successor y value.

i.e.

60 - 15 = 45

45 - 15 = 30

so if continue, we can also determine some of the other values of y such as

30 - 15 = 15

15 - 15 = 0

Also, there is a constant change in x values. so, any previous value of x is obtained by subtracting 13 from the successor x value.

i.e.

74-13 = 61

61-13 = 48

48-13=35

35-13=22

So, from the above analysis, we determine that when the value of y = 0, the value of x = 22.

We also know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.

so, at y = 0, the value of x = 22.

Therefore, the x-intercept is : (22, 0)

User Srivathsa
by
5.9k points
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