Final Exam Review

Front

What is the equation of a vertical line that passes through the point (−2, 3)?

Back

x = -2

Front

What is the slope of a horizontal line?

Back

0

Front

If Kate sells bracelets for $2 each and earrings for $3 each, what inequalities represent her need to make at least $100 and a maximum of 40 pieces of jewelry?

Back

2x + 3y > 100 and x + y ≤ 40

Front

What is the equation of a line perpendicular to y = -2x + 1 that passes through the point (2, 3)?

Back

y = \frac{1}{2}x + 2

Front

What inequalities represent JoAnn's maximum working hours and minimum earnings if she baby-sits for $3/hour and tutors for $6/hour?

Back

b + t < 15 and 3b + 6t > 66

Front

Define a linear equation.

Back

An equation that models a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).