Determining Parallel Lines In Exercises 29-32, determine whether the lines are parallel or identical. x = 6 − 3 t , y = − 2 + 2 t , z = 5 + 4 t x = 6 t , y = 2 − 4 t , z = 13 − 8 t
Determining Parallel Lines In Exercises 29-32, determine whether the lines are parallel or identical. x = 6 − 3 t , y = − 2 + 2 t , z = 5 + 4 t x = 6 t , y = 2 − 4 t , z = 13 − 8 t
Solution Summary: The author explains how the pair of lines x=6-3t,y=-2+2t and z=5+4t are identical if their direction vectors are parallel.
Algebra 2 Third Edition bju press ISBN:978-1-64626-475-9
43. If 4x-3y=2 and 3x+By=7 are perpendicular lines, what is the value of B?
45. The circle shown has the equation x2 +y2 = 25. Find the coordinate dog any point p on the circle (other than A or B); then show that line PA is perpendicular to line PB.
Can the x-intercept and the y-intercept of a line be the same point? Explain.
O Yes, when the line passes through the origin the x-intercept and the y-intercept of a line are the same point.
No, because the x-intercept of a line is the point of the form (a, 0) and the y-intercept of the line is the point of the form (0, b). The points (a, 0) and (0, b) cannot be the same.
Yes, when the line passes through any point of the form (a, a), the x-intercept and the y-intercept of the line are the same point.
O No, any line parallel to either of the axes cannot intersect both the axes at a common point.
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