Forms of Linear Equations

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

Identify the slope-intercept form of a linear equation.

Back

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

Front

What does the 'm' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line, indicating the steepness and direction.

Front

What does the 'b' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

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

Back

The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert from slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get all terms on one side.

Front

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

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

What is the slope of the line represented by the equation y = -2x + 1?

Back

The slope is -2, indicating the line descends as it moves from left to right.

Front

Which form of a linear equation is best for graphing?

Back

The slope-intercept form (y = mx + b) is often best for graphing because it clearly shows the slope and y-intercept.

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope but different y-intercepts.