A linear equation/inequality is a mathematical statement that represents a relationship between two variables, x and y, in a straight line. It can be written in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.
To graph a linear equation/inequality, you need to plot two points on the coordinate plane and then draw a straight line through those points. The two points can be found by substituting values for x in the equation/inequality and solving for y.
The main difference between a linear equation and a linear inequality is that an equation has an equal sign, while an inequality has either a greater than or less than sign. This means that an equation has only one solution, while an inequality can have multiple solutions.
A point is a solution to a linear equation/inequality if when you substitute the x and y values of the point into the equation/inequality, it makes the statement true. In other words, the x and y coordinates of the point will satisfy the equation/inequality.
Graphing linear equations/inequalities helps us visualize and understand the relationship between two variables. It also allows us to find solutions and identify patterns and trends in the data. Additionally, graphing can be used to solve real-world problems and make predictions based on the data.