Coordinate Geometry Review

Front

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).

Back

The coordinates of P are (7,9).

Front

Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.

Back

The coordinates of the point P are (1,5).

Front

Which of these represents point-slope form of a linear equation?

Back

y - y₁ = m(x - x₁) is the point-slope form.

Front

What is the equation of a line with y-intercept of -3 that is perpendicular to the line with equation y = 2x + 3?

Back

The equation is y = -\frac{1}{2}x - 3.

Front

What is the slope of the line whose equation is y - 5 = 3(x - 2)?

Back

The slope is 3.

Front

Define the midpoint formula in coordinate geometry.

Back

The midpoint M of a segment with endpoints A(x₁, y₁) and B(x₂, y₂) is given by M = (\frac{x₁ + x₂}{2}, \frac{y₁ + y₂}{2}).

Front

What is the distance formula in coordinate geometry?

Back

The distance d between two points A(x₁, y₁) and B(x₂, y₂) is given by d = \sqrt{(x₂ - x₁)² + (y₂ - y₁)²}.

Front

Explain the concept of slope in a linear equation.

Back

Slope (m) is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.