Unit 1-3 Final Exam Review

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have identical slopes.

Front

What is the slope of a line given by the equation y = mx + b?

Back

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

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

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

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What does it mean for two lines to be identical?

Back

Identical lines are the same line, having the same slope and y-intercept.

Front

Back

The solution is x = 1.5.

Front

If RT = 36 and you need to find x in a related equation, what is the first step?

Back

Set up the equation based on the relationship given in the problem.

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 b in the equation y = mx + b.

Front

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

Back

Rearrange the equation to the form Ax + By = C, where A, B, and C are integers.