Graphing Linear Equations & Slope-Intercept Form

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

If m = 2 and b = 4, what is the equation of the line?

Back

y = 2x + 4

Front

What is the slope of the line represented by the equation y = -3x + 1?

Back

The slope is -3.

Front

How do you determine if a slope is positive, negative, zero, or undefined?

Back

A positive slope rises from left to right, a negative slope falls from left to right, a zero slope is horizontal, and an undefined slope is vertical.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 1, what does this indicate about the angle of the line?

Back

A slope of 1 indicates that the line rises one unit up for every one unit it moves to the right, forming a 45-degree angle with the x-axis.

Front

What is the graph of the equation y = 5?

Back

The graph is a horizontal line that crosses the y-axis at 5.