Study Guide 3-2

Front

What is a linear equation?

Back

Front

What does it mean for a point to be a solution to an equation?

Back

A point (x, y) is a solution to an equation if, when substituted into the equation, it makes the equation true.

Front

Back

Substitute the x and y values of the point into the equation. If the left side equals the right side, then it is a solution.

Front

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

Back

Front

Back

Front

Back

Front

What does the term 'solution set' refer to in the context of equations?

Back

The solution set is the set of all points (x, y) that satisfy the equation.

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on the coordinate plane.

Front

Back

Front

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

Back

The coefficients determine the slope and position of the line on the graph.