The linear equality represented by the graphis and it matches with .
Further explanation:
It is given that a line passes through points and as shown below in Figure 1
The slope of a line passes through points and is calculated as follows:
......(1)
Here, the slope of a line is denoted as and points are and .
Substitute for , for , for and for in equation (1) to obtain the slope of a line that passes through points and .
Therefore, the slope is .
The point-slope form of the equation of a line with slope passes through point is represented as follows:
......(2)
Substitute for , for and for in equation (2) to obtain the equation of line.
Therefore, the value of is .
Since the shaded part in Figure 1 is above the equation of line , therefore, greater than sign is used instead of is equal to.
Thus, the linear inequality is as shown below in Figure 2.
Now, the four options are given below.
Since OPTION B matches the obtained equation that is .
Thus, the linear equality represented by the graph is and it matches with .
Learn more:
1. Which classification best describes the following system of equations?
2. What is the value of in the equation when ?
3. What are the values of x?
Answer Details:
Grade: Junior High School
Subject: Mathematics
Chapter: Coordinate Geometry
Keywords:Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics,equation of line, line, passes through point, inequality