Graphing Equations - Test

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 find the slope from an equation in standard form?

Back

To find the slope from an equation in standard form (Ax + By = C), rearrange it to slope-intercept form (y = mx + b) and identify m.

Front

What does the slope of a line represent?

Back

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

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How can you identify the slope and y-intercept from the equation y = -2x + 5?

Back

The slope (m) is -2 and the y-intercept (b) is 5.

Front

What is the slope of the line represented by the equation 4x + 2y = 8?

Back

The slope of the line is -2, found by rearranging the equation to slope-intercept form.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

How do you graph the equation y = 3x + 1?

Back

To graph y = 3x + 1, start at the y-intercept (0,1) and use the slope (3) to find another point by going up 3 units and right 1 unit.

Front

What is the significance of the slope being zero?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.