Standard form review

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the y-intercept of the line 2x + 3y = 6?

Back

The y-intercept is (0, 2) because when x = 0, y = 2.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the x-intercept of the line 3x + 4y = 12?

Back

The x-intercept is (4, 0) because when y = 0, x = 4.

Front

What does it mean for a line to be in slope-intercept form?

Back

A line is in slope-intercept form if it is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

Convert the equation 4x - 2y = 8 to slope-intercept form.

Back

The slope-intercept form is y = 2x - 4.

Front

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

Back

The slope of the line is 3.

Front

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

Back

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

Front

How do you graph a linear equation?

Back

To graph a linear equation, find the x- and y-intercepts, plot them on a graph, and draw a line through these points.