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MATH 204 Vectors and Matrices

Question

Answered

Question:

Part 1
 
1. A(0, 3), B (-4, 5) and C (2, y) are collinear points.  What is the y-coordinate?
 
2. Fin the equation of the line paralled to the line whose equation is y= 6x +7 and whose y-intercept is the same as the line whose equation is 3x – 4y = 12
 
3. What is the slops of a line that is parallel with 3y-5x= -2 ?
 
4. Write y = - 2/7x + 5 in general form
 
5. Given A (7, 3) and M(-15, 7); calculate the slope of the line segment AM

Part 2

1. Find the point on the X-axis that is the equidistant from P (-4, 6) and Q(3, 1)
 
2. A triangle has vertices A( 0, 15) B(2, -3) and C(18, 13(.  M is the midpoint of AB and N is the midpoint AC.  Prove, algebraically that MC and NB are the same length
 
3. A line segment has endpoints A (4, 8) and B (-2, 2). Algebraically determine the coordinates of the 3 points that divide AB into 4 equal parts
 
4. A(7, 9) and B (-1, 3) for the diameter of a circle. Algebraically determine if the C(-1, 0) is on the circumference of the circle
 
5. Determine the equation of the line given
a. That it is perpendicular to 2y – 4x + 12 = 0 and it passes through the point (4, -13)
b. That it passes through the point (-9, 13)

MATH 204 Vectors and Matrices

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