Graph of a Linear Equation
The graph of a linear equation is a Grade 7 algebra concept in Big Ideas Math Advanced 2, Chapter 4: Graphing and Writing Linear Equations. Every point on the graph of y equals mx plus b is a solution to the equation, and every solution to the equation is a point on the line. For example, the point (2, 5) lies on y equals 2x plus 1 because substituting gives 5 equals 5.
Key Concepts
The graph of a linear equation in the form $y = mx + b$ is a line.
Every point on the line is a solution of the equation. Every solution of this equation is a point on this line.
Common Questions
What does the graph of a linear equation look like?
The graph of a linear equation in the form y equals mx plus b is a straight line. Every point on this line is a solution to the equation.
How do you check if a point is on the graph of a linear equation?
Substitute the x and y coordinates into the equation. If the equation is true, the point is on the line. If the equation is false, the point is not on the line.
What does it mean for a point to be a solution to an equation?
A point (x, y) is a solution if its coordinates make the equation true when substituted. For y equals 2x plus 1, the point (3, 7) is a solution because 7 equals 2 times 3 plus 1.
What textbook covers graphing linear equations in Grade 7?
Big Ideas Math Advanced 2, Chapter 4: Graphing and Writing Linear Equations covers the graph of linear equations in slope-intercept form.