Solving Systems of Linear Equations using Desmos

Front

What is a system of linear equations?

Back

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

Front

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

Back

It means to find 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 is Desmos?

Back

A graphing calculator tool that allows users to graph equations and visualize solutions.

Front

How do you check if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into each equation to see if they hold true.

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means there is no solution, as the lines never intersect.

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What does it mean if two lines coincide in a system of equations?

Back

It means there are infinitely many solutions, as the lines are the same.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a coordinate plane.

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).