STAAR - Rate of change/Parallel & Perpendicular

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often represented as a slope in a linear equation.

Front

What is the slope of a line?

Back

The slope of a line is a number that describes the direction and steepness of the line. It is calculated as the change in y divided by the change in x (rise over run).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that they intersect at a right angle.

Front

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

How do you determine if two lines are parallel from their equations?

Back

Two lines are parallel if their slopes are equal. For example, in the equations y = mx + b1 and y = mx + b2, the lines are parallel.

Front

How do you determine if two lines are perpendicular from their equations?

Back

Two lines are perpendicular if the product of their slopes is -1. For example, if one line has a slope of m1, the other line must have a slope of m2 such that m1 * m2 = -1.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It can be found by setting x = 0 in the equation of the line.

Front

How do you write the equation of a line given a point and a slope?

Back

You can use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.