Which table represents a linear function?

QuestionsCategory: General MathWhich table represents a linear function?
BPATC asked 1 month ago

Which table represents a linear function?

 

1 Answers
BPATC answered 1 month ago

The linear function is shown in Table 3.

Explanation

The following is the linear equation with slope m and intercept c.

y=mx+c

The formula for the slope of a line with points  and  can be expressed as,

In table 1,

The slope can be obtained as follows,

The slope of the other two points can be obtained as follows,

The slope is not equal. Therefore, table 1 is not correct.

In table 2,

The slope can be obtained as follows,

 

The slope of the other two points can be obtained as follows,

 

The slope is not equal. Therefore, table 2 is not correct.

 

In table 3,

The slope can be obtained as follows,

 

The slope of the other two points can be obtained as follows,

 

The slopes are equal. Therefore, table 3 is correct.

 

In table 4,

The slope can be obtained as follows,

 

The slope of the other two points can be obtained as follows,

 

The slope is not equal. Therefore, table 4 is not correct.

 

Table 3 represents the linear function.

Ads Blocker Image Powered by Code Help Pro
Ads Blocker Detected!!!

We have detected that you are using extensions to block ads. Please support us by disabling these ads blocker.

I Disabled Adblocker. Refresh