Graphing Equations - Test

Front

What is the slope of the line represented by the equation 3x - 9y = 12?

Back

The slope is 1/3.

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

How do you find the slope from the equation of a line in standard form (Ax + By = C)?

Back

Rearrange the equation to slope-intercept form (y = mx + b) to identify the slope (m).

Front

What does the 'm' represent in the slope-intercept form of a linear equation?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the slope-intercept form of a linear equation?

Back

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

Front

How can you determine the y-intercept from the equation of a line?

Back

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

Front

What is the graph of the equation y = 3x + 2?

Back

The graph is a straight line with a slope of 3 and a y-intercept of 2.

Front

What is the graph of the equation y = -x + 2?

Back

The graph is a straight line with a slope of -1 and a y-intercept of 2.

Front

How do you graph the equation 2x - y = 4?

Back

Rearrange to slope-intercept form (y = 2x - 4) and plot the y-intercept and use the slope to find another point.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.