Points, Lines, and Line Segments

Points can be described as precise positions in space, indicated by small dots. Lines, on the other hand, are unswerving paths that stretch endlessly in both directions. Line segments, however, are segments of lines that have two distinct endpoints. These segments depict a specific length within the boundless extension of a line.

Finding a Point's Quadrant

In which quadrant does the point (-3, 4) lie?

Finding the Midpoint of a Line Segment

Find the midpoint of the line segment with endpoints A(3, 4) and B(7, 8)?

Distance Formula

Find the distance between the points A(2, -3) and B(5, 7).

Finding the Start Point Given the Mid and End Points

If the midpoint of a line segment is M(2, -3) and one end point is B(5, 1), find the coordinates of the other end point A.

Finding the End Point Given the Start and Mid Points

Given a line segment with start point A(2,3) and midpoint M(5,7), find the coordinates of the end point B.

Finding the Slope

Find the slope of the line that passes through the points (4, 7) and (2, 3).

Finding the y Intercept

Given the equation of the line as \(4x + 2y = 8\), find the y intercept.

Finding the Slope and y-Intercept

Given the points (3,4) and (7,10), find the slope and y-intercept of the line passing through these points.

Finding the Equation of the Parabola

Given three points on a parabola, \(P(0, 0)\), \(Q(1, 1)\), and \(R(2, 4)\), find the equation of the parabola.

Finding the Average Rate of Change

Given the points A(2,3) and B(5,9) on a line, find the average rate of change between these two points.

Finding the Slope of the Perpendicular Line to the Line Through the Two Points

What is the slope of the line perpendicular to the line passing through the points \((2,3)\) and \((-1,1)\)?

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