Extra Credit

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y to isolate it on one side of the equation.

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

If two lines are parallel, they have the same slope but different y-intercepts.

Front

What does it mean if two lines intersect at a point?

Back

If two lines intersect at a point, it means that the system of equations has a unique solution at that point.

Front

What does it mean if two lines are coincident?

Back

If two lines are coincident, they lie on top of each other and have infinitely many solutions.

Front

What does it mean if a system of equations has no solution?

Back

A system of equations has no solution if the lines are parallel and do not intersect.

Front

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

Back

The solution to a system of linear equations can be determined graphically by finding the point where the two lines intersect.