Graphing Linear Equations Test

Front

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

Back

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

Front

How do you identify the slope from a linear equation?

Back

The slope is the coefficient of x in the slope-intercept form (y = mx + b).

Front

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

Back

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

Front

If Bob saves $40 per month and starts with $150, what is the equation representing his savings over time?

Back

y = 40x + 150, where y is the total savings and x is the number of months.

Front

What is the slope of the line represented by the equation y = -\frac{3}{2}x + 4?

Back

The slope is -\frac{3}{2}.

Front

What does a positive slope indicate about a linear graph?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate about a linear graph?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

How can you determine if a point lies on a line represented by an equation?

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.

Front

What is the significance of the equation x = 5?

Back

The equation x = 5 represents a vertical line that crosses the x-axis at 5.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.