5.1 and 5.2 Review (Solving Systems by Graphing and Sub)

Front

What is the solution to the system of equations represented by the lines on a graph?

Back

The point where the two lines intersect, representing the values of the variables that satisfy both equations.

Front

What does it mean if two lines are parallel?

Back

They never intersect because they have the same slopes.

Front

What are the possible types of solutions for a system of equations?

Back

One Solution, No Solution, Infinitely Many Solutions.

Front

What is the solution to the system if the lines overlap completely?

Back

Infinitely Many Solutions.

Front

What is the solution to the system if the lines are parallel?

Back

No solution.

Front

How can you determine the solution to a system of equations graphically?

Back

By finding the point of intersection of the two lines on the graph.

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis, representing the value of y when x=0.

Front

How do you find the slope of a line given two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that is horizontal?

Back

The slope is 0.