14. Determine an equation of a plane parallel to a coordinate plane that contains the given pair of points. (a) (3, 4, −5), (−2, 8, −5)

Q: Find an equation for the plane through the point (0, –4, 5) which is perpendicular to the line…

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Q: Find an equation for the plane through the points (0, 3, -7),(4,12, –15), and (-3, 7, – 15). An…

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Q: 4- Find the equation of the straight line through A(3,1) parallel to the line AB whose equation…

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Q: Find an equation for the line in the form ax + by = c, where a, b, and c are integers with no factor…

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Q: b) Use the idea in part (a) to determine an explicit one-to-one correspondence between zt and the…

A: as you asked only the solution for (b) , the solution of the part (b) is given below...

Q: b) Find the equation of the line passing through the points P1 ( 3, 7, 9) and P, (8, 10,12).

A: Given that: Two points are: P1(3, 7, 9) and P2(8,10,12)

Q: ntercept Form = mx +b) Standard Form General Fo (Ax+ By = C) (Ax + By +C -3x + y -2 x+ y-7= ple: y =…

A: We have to complete the given table according to the given information

Q: 5x + 7y = 1 ax + by = 1 In the given pair of equations, a and b are constants. The graph of this…

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Q: A city is described parametrically by the equation r = (ai + bj+ck) + svi + tv₂ where v₁ = 3i+j+ k…

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Q: Find the equation of the plane that passes through (2, 5,9) and is parallel to x + y + z = 4.…

A: We have to find the equation of plane that is passing through the point (2, 5, 9) and is parallel to…

Q: 5. What is the y-intercept of y= 2x++7x3-4x2-27x-18? В. 4 А. 2 C. -27 D. -18

A: The solution is given as

Q: Find the equation of the plane that passes through the points A(2, —1, 2), B(1,1, 8) and C(2, 0,…

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Q: The plane II contains the points (1,2,3), (0.1.2) and (2,3,0). The line L passes through the points…

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Q: Find the equations of the circles passing through the point (-4,3). Couching the lines x + y 2 and x…

A: Since the circle touches the line x+y=2 and x-y=2, then we can conclude that the center of this…

Q: Find the equation of the straight line through C(2,0) parallel to the line CD whose equation…

A: • Parallel lines have equal slopes. So, we can use this fact to find the equation of required line…

Q: B. Determine the symmetric equation of the line going through the points P(-2,0,3) and Q(1,3,7).

A: To find  The symmetric equation of the line going through the points p(-2,0,3) and Q(1,3,7)

Q: The equation of the line passing through the point A(-3,5) and perpendicular to 7x-9y+1=0 is: O a. y…

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Q: Find an equation of the line that passes through the point (5, 4) and is perpendicular to the line…

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Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be…

Q: Express the given equations to the standard form. Identify the coordinates of the center, endpoints…

A: Express the given equations to the standard form. Identify the coordinates of the center, endpoints…