Characteristics of Linear Equations

Front

How do you determine if two linear equations are parallel?

Back

Compare the slopes of the two equations. If the slopes are equal and the y-intercepts are different, then the equations are parallel.

Front

What is the standard form of a linear equation?

Back

Ax + By = C

Front

What is the x-intercept of a linear equation?

Back

The x-intercept of a linear equation is a point (x, 0) where the line crosses the x-axis.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the constant term in the equation and represents the value of y when x is 0.

Front

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

Back

y - y1 = m(x - x1)

Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of y with respect to x.

Front

How can you find the slope from two points on a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.