Writing Linear Equations

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 as (0, b) in the equation y = mx + b.

Front

What does 'm' represent in the equation of a line?

Back

'm' represents the slope of the line, which indicates the steepness and direction of the line.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

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.

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

What does 'b' represent in the equation of a line?

Back

'b' represents the y-intercept of the line, which is the value of y when x = 0.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation.

Front

What is the relationship between the slope and the angle of a line?

Back

The slope of a line is the tangent of the angle (θ) it makes with the positive x-axis, m = tan(θ).

Front

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

Back

To convert y = mx + b to Ax + By = C, rearrange the equation to get all terms on one side.