Transforming Linear Equations

Front

What is the parent graph of linear equations?

Back

The parent graph of linear equations is the graph of the function y = x.

Front

How does the slope of a linear equation affect the steepness of its graph?

Back

A larger absolute value of the slope indicates a steeper graph, while a smaller absolute value indicates a less steep graph.

Front

What does the y-intercept represent in a linear equation in slope-intercept form?

Back

The y-intercept represents the point where the graph intersects the y-axis, indicating the value of y when x = 0.

Front

What transformation occurs when the slope of a linear equation is increased?

Back

The graph becomes steeper.

Front

What transformation occurs when the slope of a linear equation is decreased?

Back

The graph becomes less steep.

Front

How does adding a positive number to the y-intercept affect the graph of a linear equation?

Back

It shifts the graph upward by that number of units.

Front

How does subtracting a positive number from the y-intercept affect the graph of a linear equation?

Back

It shifts the graph downward by that number of units.

Front

What is the effect of a negative slope on the direction of a linear graph?

Back

A negative slope causes the graph to decrease from left to right.

Front

If a linear equation is in the form y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

If a linear equation is in the form y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.