Wk 23: Solving Systems of Equations Graphically

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean to solve a system of equations graphically?

Back

Finding the point(s) where the graphs of the equations intersect.

Front

What is the solution to a system of equations?

Back

The point(s) (x, y) that satisfy all equations in the system.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The equations represent the same line, so every point on the line is a solution.

Front

How can you identify the solution of a system of equations from a graph?

Back

Look for the point where the lines intersect on the graph.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis (x=0).

Front

What is the slope of a line?

Back

The rate of change of y with respect to x, often represented as 'rise over run'.

Front

How do you graph a linear equation?

Back

Find the y-intercept, use the slope to find another point, and draw the line.