Direct Variation, Equations 3 ways and Types of Lines

Front

What is the equation of a line in standard form?

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

What does direct variation mean?

Back

Direct variation describes a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx.

Front

What is the slope-intercept form of a line?

Back

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

Front

How do you find the slope of a line given two points?

Back

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

Front

What are the slopes of parallel lines?

Back

The slopes of parallel lines are identical.

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

What is the point-slope form of a line?

Back

The point-slope form of a line 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 y = mx + b to standard form, rearrange the equation to Ax + By = C.

Front

What is the significance of the y-intercept in 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

What does the variable 'k' represent in the direct variation equation?

Back

In the equation y = kx, 'k' represents the constant of variation, indicating how much y changes for a unit change in x.