Solving Systems by Graphing

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect on a graph.

Front

What does it mean to solve a system by graphing?

Back

Solving a system by graphing involves plotting the equations on a coordinate plane and identifying the point(s) where the lines intersect, which represents the solution.

Front

What is the slope of a line?

Back

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship between the two variables.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship between the two variables.

Front

What is a scatterplot?

Back

A scatterplot is a graph that displays values for typically two variables for a set of data, using dots to represent the values.

Front

What does a correlation coefficient close to 1 indicate?

Back

A correlation coefficient close to 1 indicates a strong positive linear relationship between two variables.

Front

What does a correlation coefficient close to -1 indicate?

Back

A correlation coefficient close to -1 indicates a strong negative linear relationship between two variables.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the first four terms of an arithmetic sequence?

Back

To find the first four terms, start with the first term and repeatedly add the common difference to find the next terms.