Find an equation of the plane through the three points given: Р - (5,0, 0),Q — (9, 1, 3), R — (8,4, —3) %3D = -75

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: Graph the following linear equations using any 2 points. 1. у %3D 2х + 5 2. у %3D— Зх + 2

A: Given that y=2x+5  We have to draw the graph of this linear equation

Q: Determine an equation for the plane through the following points: (-5, -9, 3), (-8, -4, 7) and (-9,…

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Q: Find the y-intercept (b=) of the line 8x+5y=20 *

A: Given line is: 8x+5y=20 For calculating the y intercept, put x=0 So,  8×0+5b=205b=20b=4 is the…

Q: Draw the row and column pictures for the equations x - 2y = 0, x + y = 6.

A: The objective is to draw the row and column pictures of the given equations x - 2y = 0 ...(i), x + y…

Q: Show that the points A(1,2) B (-1 , -16 ) and C (0 , -7 ) .Lie on the graph of the linear equation…

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Q: Find an equation of the line that passes through the pint (2,5) and is perpendicular to the line…

A: The slope-intercept form of a line can be written as y=mx+b , where, m is the slope and b is the…

Q: Points A(p, 6), B(-3, q), and C(r, 8) are on a line whose equation is y = -2x + 3. Find the unknown…

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Q: Write the equation of the line passing through (-2, –1) that is parallel to 3x + 5y = 11.

A: Find the slope m for the straight line 3x + 5y = 11. 3x+5y=115y=11−3x5y5=115−3x5y=−3x5+115m=−35

Q: Find the equation where the planes 2x - 3y + z = 5 and x +y -z = 2 intersect. Write step by step.

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Q: - 1 y - 1 -3 23. (2, – 1, – 3); z- 2 %3D 3 2 2

A: The general equation of plane is ax+by+cz+d=0. To find the equation of plane which passes through…

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: Determine the equation of the axis of symmetry, y = x2 - 4x - 12

A: If the Equation of a parabola is given by , then it's axis of symmetry is given by

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: Graph the following linear equations using any 2 points. 1. у %3D 2х + 5 2. у %3D— Зх + 2

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