algebra 1 final review (use desmos)

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as 'b' in the linear equation y = mx + b.

Front

What is the x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis. It is found by setting y to 0 in the equation of the line and solving for x.

Front

What is the formula for a linear equation?

Back

The formula for a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if a graph represents exponential decay?

Back

Exponential decay occurs when a quantity decreases at a rate proportional to its current value, resulting in a rapid decrease that slows over time.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the difference between a linear function and a nonlinear function?

Back

A linear function has a constant rate of change and can be graphed as a straight line, while a nonlinear function does not have a constant rate of change and can be graphed as a curve.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates, making it essential for interpreting data in various fields.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions can be found where the equations intersect on a graph.

Front

How do you solve a system of equations using substitution?

Back

To solve by substitution, solve one equation for one variable and substitute that expression into the other equation.