Matching linear equations with their corresponding graphs is a fundamental skill in algebra and a crucial stepping stone for understanding more complex mathematical concepts. This exercise not only ...

In math and statistics, you may occasionally need to calculate the slope of a line generated by coordinates in the (x,y) format. The slope is a value that indicates the rate at which the y value of a ...

Any equation that can be rearranged into the form \(y = mx + c\), will have a straight line graph. \(m\) is the gradient, or steepness of the graph, and \(c\) is the \(y\)-intercept, or where the line ...

Predicting Values: Once you have a linear equation that represents a relationship, you can use it to predict values. For example, if you know the cost of producing a certain number of items, you can ...

The graphs of \(y = 2x + 1\) and \(y = 2x - 2\) are shown below. The graph of \(y = 2x + 1\) crosses the \(y\)-axis at (0, 1). The graph of \(y = 2x - 2\) crosses the ...