Exam Review #2

Front

Write the equation of the line with slope -2 through the point (7, -1).

Back

y = -2x + 13

Front

For what value of x does f(x) = -2?

Back

x = -5

Front

Write in slope-intercept form: -3x + 4y = 12

Back

y = 3/4x + 3

Front

Find the center and radius of the circle: x² + y² + 14x - 2y = -1

Back

Center: (-7, 1), Radius: 7

Front

Determine the equation of the circle in standard form: x² + y² + 6x - 12y + 20 = 0

Back

(x + 3)² + (y - 6)² = 25

Front

What is the slope-intercept form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the center of a circle given its equation in standard form?

Back

The center is given by the coordinates (-h, -k) from the equation (x - h)² + (y - k)² = r².

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

Isolate y on one side of the equation.

Front

What does the term 'radius' refer to in a circle?

Back

The radius is the distance from the center of the circle to any point on its circumference.