Graphing Solutions (8.9A)

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values that satisfy all equations in the system simultaneously.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept and the slope, then plot the y-intercept on the graph and use the slope to find another point.

Front

What does the point of intersection represent in a graph of two equations?

Back

The point of intersection represents the solution to the system of equations, where both equations are true.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

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

Back

Substitute the x and y values of the point into each equation. If both equations are satisfied, the point is a solution.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, indicating they intersect at a right angle.

Front

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

Back

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

Front

What is a system of equations?

Back

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