Unit 5 & 6 Review

Front

What is the standard form of a circle's equation?

Back

The standard form of a circle's equation is (x-h)² + (y-k)² = r², where (h, k) is the center and r is the radius.

Front

How do you determine the radius of a circle from its equation?

Back

The radius can be found by taking the square root of the constant on the right side of the equation in standard form.

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.

Front

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

Back

The slope-intercept form 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 is the slope of the line y = 2x - 7?

Back

The slope of the line is 2.

Front

If two lines have the same slope, what can be said about them?

Back

If two lines have the same slope, they are parallel.

Front

What is the radius of the circle given by the equation (x+2)² + (y-3)² = 4?

Back

The radius of the circle is 2.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.