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- Handouts
- Exercises
LINK: Analytic Geometry
Topics:
- Fundamentals of Analytic Geometry
- Distance between two points
- Area of a polygon with n sides
- Division of line segment
- Angle between two lines
- Lines Point slope form
- Slope-intercept form
- Intercept form
- Elements and properties of a Triangle
- Find the equation of line with slope of -7 and x-intercept of 5.
- a. 8x + y – 35 = 0
- b. 7x + 3y – 30 = 0
- c. 7x – y – 35 = 0
- d. 8x + y + 35 = 0
- Find the slope-intercept equation of a line that has y-intercept -5 and is parallel to the line of 6x – 3y = 4.
- a. y = 3x + 6
- b. y = 2x – 7
- c. y = 2x – 5
- d. y = 3x – 1
- Find the equation of the locus of a point that moves so as to be always equidistant from A (4, 5) and B (-1, 2).
- a. 6x – 4y – 20 = 0
- b. 7x + 3y + 22 = 0
- c. 5x + 3y – 18 = 0
- d. 5x – 3y + 18 = 0
- Find the distance between two parallel lines 5x – 4y + 11 = 0 and 5x – 4y + 3 = 0.
- a. 1.24
- b. 2.22
- c. 1.88
- d. 1.61
- Find the distance between 4x + 5y = 6 and point (1, 5).
- a. 2.81
- b. 3.59
- c. 2.00
- d. 3.28
- Which of the following lines is perpendicular to a line with the equation y = ½x + 8?
- a. 3x + y – 9 = 0
- b. 2x – 3y – 10 = 0
- c. 2x + y – 8 = 0
- d. 3x – 2y + 6 = 0
- Find the y-intercept of line whose equation is 4x + 5y = 15.
- a. 2
- b. 3
- c. 4
- d. 5
- The equation of a straight line passing through point (3, 4) and slope of 2.
- a. x – y = -1
- b. x + y = 1
- c. x + 2y = -1
- d. 2x + y = 1
- The intercept of a straight line on the x-axis is -4. If (6, 3) is a point on the straight line, the slope of the straight line is ____.
- a. 7/6
- b. 6/7
- c. -3/5
- d. -6/7
- The acute angle between the two straight lines y = 3x + 3 and y = 4x + 8, is ____.
- a. 5.3 deg
- b. 6.2 deg
- c. 4.1 deg
- d. 4.4 deg
- Find the equation of line whose x-intercept is 3 and y-intercept is 4.
- a. 2x + 5y = 10
- b. x + 3y = -8
- c. 2x – 4y = 12
- d. 3x + 4y = 12
- Find the slope of line whose equation is y – 6x + 3 = 0.
- a. 3
- b. 4
- c. 5
- d. 6
- What is the equation of the straight line whose nearest point to the origin is (-7, 5)?
- a. 3x – 8y = 20
- b. 2x + 7y = 18
- c. 5x – 6y = 22
- d. 2x + 7y = 21
- Find the equation of the line passing through the point (3, 2) and that is perpendicular to the line passing through (4, -3) and (-7, 6).
- a. 7y = 6x + 11
- b. 6y = 5x – 12
- c. 8y = 9x – 11
- d. 5y = 10x + 9
- Find the slope form of the line passing through the points (-7, -4.3) and (6.3, -8.1).
- a. y = 2/5x + 60/11
- b. y = 2/7x + 63/10
- c. y = 3/7x + 60/10
- d. y = 5/7x + 63/10
- Find the slope form of the line passing through the points (2, 3) and (9, 10).
- a. y = x – 1
- b. –y = x + 1
- c. y = x + 1
- d. y = -x + 1
- What is the angle between the x-axis and the line y=0.9x?
- a. 32 deg
- b. 40 deg
- c. 44 deg
- d. 42 deg
- Find the distance between point (0, 6) and (7, -2).
- a. 9.3
- b. 12.8
- c. 10.6
- d. 8.1
- Find the mid-point between (3, 6) and (-5, -6).
- a. (-1, 0)
- b. (1, 1)
- c. (1, 0)
- d. (-1, -1)
- Find the distance between two parallel lines 3x – 5y = 11 and 3x – 5y = 3.
- a. 1.4
- b. 1.8
- c. 1.2
- d. 2.1
- The equation of the line through (1, 3) parallel to the line 4x – 3y + 5 = 0 is ____.
- a. 3x – 4y + 5 = 0
- b. 4x + 3y – 5 = 0
- c. 3x + 5x + 6 = 0
- d. 4x – 3y + 5 = 0
- Find the equation of line whose x-intercept is 3 and y-intercept is 8.
- a. 7x – 3y = 20
- b. 8x – 5y = 22
- c. 7x + 6y = 23
- d. 8x + 3y = 24
- Find the equation of the line whose y-intercept is -9 and whose slope is 5/4.
- a. 6x – 5y – 35 = 0
- b. 5x – 8y + 30 = 0
- c. 5x – 4y – 36 = 0
- d. 6x – 5y + 30 = 0
- Find the slope of a line having a parametric equation of x = 3 + t and y = 6 – 4t.
- a. 4
- b. 5
- c. -4
- d. -5
- Determine A such that 4x + 3y – 8 = 0 is perpendicular to 3x – Ay + 3 = 0.
- a. 3
- b. 4
- c. 5
- d. 6
- A line passes thru (2, -4) and (-5, 3). Write the equation of the line in slope intercept form.
- a. y = x + 2
- b. y = -x – 2
- c. 2y = x + 3
- d. –y = x – 2
- 27. In a Cartesian coordinates, the vertices of a triangle are defined by the following points: (-3, 1), (5, 0) and (4, 4). Find the area?
- a. 15.5
- b. 16.3
- c. 18.2
- d. 14.5
- 28. Determine the coordinates of the point which is three-fifths of the way from the point (3, -6) to the point (-4, 6)
- a. (-6/5, 6/5)
- b. (6/5, -6/5)
- c. (5/6, -5/6)
- d. (-5/6, 6/5)