ACP MIX

Front

What is a system of equations?

Back

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

Front

How do you find the solution to a system of equations graphically?

Back

Plot both equations on the same graph and identify the point(s) where they intersect.

Front

What is the slope of a line?

Back

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

Front

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

Back

Use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, which means the x-coordinates are the same for all points on the line.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line, meaning the y-coordinates are the same for all points on the line.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, where y = 0.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, where x = 0.

Front

How do you determine the x-intercept from an equation?

Back

Set y = 0 in the equation and solve for x.

Front

How do you determine the y-intercept from an equation?

Back

Set x = 0 in the equation and solve for y.