Question

In: Math

1. Find an equation of the line that satisfies the given conditions. Through (1/2, -2/3); perpendicular...

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 + 4;  4y − 16x − 9 = 0

Solutions

Expert Solution


Related Solutions

1. Find an equation of the circle that satisfies the given conditions. Center (2, −3); radius...
1. Find an equation of the circle that satisfies the given conditions. Center (2, −3); radius 5 2. Find an equation of the circle that satisfies the given conditions. Center at the origin; passes through (4, 6) 3. Find an equation of the circle that satisfies the given conditions. Center (2, -10); tangent to the x-axis 4. Show that the equation represents a circle by rewriting it in standard form. x² + y²+ 4x − 10y + 28 = 0...
Write an equation in slope-intercept form of the line that satisfies the given conditions . Through...
Write an equation in slope-intercept form of the line that satisfies the given conditions . Through (-2,-2); parrallel to -x + 2y = 10
1).Find an equation for the conic that satisfies the given conditions. ellipse,    foci (0, −3), (8, −3),...
1).Find an equation for the conic that satisfies the given conditions. ellipse,    foci (0, −3), (8, −3),     vertex (9, −3)
Find the equation of the line through the point P = (0,2,−1) that is perpendicular to...
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 line goes through (1,0,-1) that is perpendicular to the lines x...
Find the equation of the line goes through (1,0,-1) that is perpendicular to the lines x = 3+2t,y = 3t,z = −4t and x = t,y = t,z = −t. Write it in parametric and the vector equation form.
Find parametric equations for the line through the point (0, 2, 3) that is perpendicular to...
Find parametric equations for the line through the point (0, 2, 3) that is perpendicular to the line x = 2 + t, y = 2 − t, z = 2t and intersects this line. (Use the parameter t.) (x(t), y(t), z(t)) =
A) Find the equation of the plane that passes through (2, -1,3) and is perpendicular to...
A) Find the equation of the plane that passes through (2, -1,3) and is perpendicular to the line x = 2-3t, y = 3 + t, z = 5t B) Find the equation where the planes 2x-3y + z = 5 and x + y-z = 2 intersect. C) Find the distance from the point (2,3,1) to the x + y-z = 2 plane. D) Find the angle between the planes x + y + z = 1 and x-2y...
(a) Find parametric equations for the line through (3, 4, 8) that is perpendicular to the...
(a) Find parametric equations for the line through (3, 4, 8) that is perpendicular to the plane x − y + 4z = 5. (Use the parameter t.) (x(t), y(t), z(t)) =    (b) In what points does this line intersect the coordinate planes? xy-plane     (x, y, z) =    yz-plane     (x, y, z) =    xz-plane     (x, y, z) =   
find the equation of the line that has slope - 2/3 and which passes through (-1,-6)
find the equation of the line that has slope - 2/3 and which passes through (-1,-6)
a) Find the equation of the normal line at the point (−2, 1 − 3) to...
a) Find the equation of the normal line at the point (−2, 1 − 3) to the ellipsoid x2 /4 + y2 + z2 / 9 = 3 b) Find a plane through P (2, 1, 1) and perpendicular to the line of intersection of the planes: 2x+y−z = 3 and x+2y+z = 2.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT