The equation of the line that goes through the point (3,2) ( 3 ,
2 ) and is parallel to the line going through the points (−2,3) ( −
2 , 3 ) and (5,6) ( 5 , 6 ) can be written in the form ?=??+?
where:
m=
b=
1. Find an equation of the line that satisfies the given
conditions.
Through (1/2, -2/3); perpendicular to the line 6x - 12y = 1
2. Find the slope and y-intercept of the line. Draw its
graph.
4x + 5y = 10
3. Find the x- and y-intercepts of
the line. Draw its graph.
5x + 3y − 15 = 0
4. The equations of two lines are given. Determine whether the
lines are parallel, perpendicular, or neither.
y = 4x +...
Find the equation of the line through the point P = (0,2,−1)
that is perpendicular to both ⃗v = 〈3,0,1〉 and ⃗w = 〈1,−1,2〉.
v and w are vectors by the way
Find the equation of the tangent line to the curve at the point
corresponding to the given value of t
1. x=cost+tsint, y=sint-tcost t=7pi/4
2. x=cost+tsint, y=sint-tcost t=3pi/4?
Find the equation of the tangent plane and the
parametric equations for the normal line to the surface
x2 + y2 - z = 0 at the point P(4,-1, 6).
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Homework #3
a) Find the point of intersection of the line x = 2-3t, y = 3 +
t, z = 5t and the plane 3x-2y + z = 5
b)Find the equation of the plane that passes through (1,2,3) and
is parallel to the plane 2x-3y + z = 1
c)Find the equation of the plane that contains the line x =
2-3t, y = 3 + t, z = 5t and goes through the point (1,2, 3)