Mod 6 Review : Systems Graphically (Math)

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables. The solution to the system is the point(s) where the equations intersect.

Front

How do you solve a system of linear equations graphically?

Back

To solve a system of linear equations graphically, plot each equation on the same coordinate plane and identify the point(s) where the lines intersect.

Front

What does it mean if two lines intersect at a single point?

Back

If two lines intersect at a single point, it means the system of equations has one unique solution.

Front

What does it mean if two lines are parallel?

Back

If two lines are parallel, it means the system of equations has no solution, as the lines never intersect.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The graphical representation of a system with infinitely many solutions is when the two lines overlap completely, indicating that they are the same line.

Front

How can you determine if a point is a solution to a system of equations?

Back

To determine if a point is a solution to a system of equations, substitute the x and y values of the point into each equation. If the point satisfies all equations, it is a solution.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent in a linear equation?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept of a linear equation is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients in a linear equation determine the slope and position of the line on the graph.