Table 3 represents the linear function.
Further explanation:
The linear equation with slope m and intercept c is given as follows.
The formula for slope of line with points and can be expressed as,
Explanation:
In table 1,
The slope can be obtained as follows,
The slope of 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 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 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 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.
Learn more:
1. Learn more about line segment brainly.com/question/909890.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about coplanar and noncollinear brainly.com/question/4165000.
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: linear function, numbers, slope intercept, inequality, equation, y-intercept, graph, representation.