M5_L1_L2 SOLVING SYSTEMS OF EQUATIONS BY GRAPHING

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations by graphing?

Back

To solve a system of equations by graphing means to plot each equation on the same coordinate plane and identify the point(s) where they intersect.

Front

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

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the meaning of the slope in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is substitution in solving systems of equations?

Back

Substitution involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is the graphical representation of the equation y = 7x?

Back

The graph is a straight line with a slope of 7, passing through the origin (0,0).

Front

How do you determine if a system of equations has no solution?

Back

A system has no solution if the lines are parallel, meaning they have the same slope but different y-intercepts.

Front

What does it mean if two equations are dependent?

Back

Dependent equations are those that represent the same line, meaning they have infinitely many solutions.

Front

What is the setup fee in a cost equation?

Back

The setup fee is a fixed cost that is added to the total cost, regardless of the number of items produced or purchased.