Find the equation of the line L that passes throught point P(- 4, 7, 3) and Q(2, – 3, - 2).

Q: B. Find the point on the line y = 3x that is closest to the point (50, 0).

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Q: Find the equation of the line that passes through the point (-1, 3) and is parallel to the line 5x –…

A: Two parallel lines have the same slope.   The slope-intercept form of a line is given by:…

Q: Find the equation of line thru P: (1, -2,1) perpendicular to z= 2x – 3y + 7

A:

Q: Find the equation of the line that is perpendicular to the line 2x – 4y = 5 and contains the point…

A:

Q: Find the equation of the line passing through P(0,5) and parallel to the line 2x+y=3.

A:

Q: Find an equation for the line with the given properties  parallel to the line 2x+9y=24 containing…

A: Given line  2x+ 9y = 24 y = (24 - 2x)/9 or y= (-2/9) x + 24/9 compare with  y = mx + c slope of line…

Q: Find the symmetric equation of the line that passes throug the two points P(2,4, –7) and Q(-1,…

A:

Q: Find the equation of the the line perpendicular to the line (2,3) and 2y= 6-3x

A: Given,           The required equation of the line passes through the point (2, 3) and perpendicular…

Q: Find the equation of the line containing the point  P(4, 4)  and parallel to the graph of  5x + y…

A:

Q: Write the equation of the line that is parallel to y=D1.5x - 6 and passes through the point (4,2). O…

A:

Q: find the equation of the line which passes through the point (3,−3)(3,−3), and is parallel to the…

A: Parallel lines have the same slope (m). The equation of lines parallel to the line  y = mx + c  is…

Q: Find an equation of the line L. Lis perpendicular to y = - 2x. y = - 2x 8 (-3,6) L -8

A: Topic = Coordinate geometry

Q: Q1/ Find the equation of a line passing through (1,2) orthogonal to the line passing through (2,…

A:

Q: Find an equation of the line that satisfies the given conditions. Through (-3,2);  perpendicular to…

A: Given line y=1/2x+7

Q: find the y-intercept of the line that passes through (1,2,-3) and is parallel to the wing 1/3(x-4)=…

A:

Q: Write an equation of a line that passes through the point (7, 3) and is parallel to the line y = -x+…

A:

Q: 4. Find the equation of the line perpendicular to the line 3y = 2 – 4xand passing through the point…

A: The slope of perpendicular line is given by, -dx/dy

Q: Find the equation of the line containing the point  P(3, 2)  and parallel to the graph of  5x + y…

A:

Q: Find the equation of the line containing the point P(2, 5) and parallel to the graph of 5x + y =…

A:

Q: Find an equation for the line with the given properties.  Parallel to the line 2x+9y=24; containing…

A: A line parallel to the line 2x+9y=24 will have same slope as this line Write 2x+9y=24 into y=mx+b…

Q: Write an equation of the line containing the given point and parallel to the given line.  Express in…

A:

Q: Find the equation of the line that contains the point  P(−2, −2)  and is perpendicular to the graph…

A: In the given equation of y,  x is missing   y=-2x3-3   The equation is of the form        y=mx+b.…

Q: Find the equation of the line passing through the point  (2, 3) and  perpendicular to the line 2y =…

A: Given, a line passing through the point (2, 3) and perpendicular to the line 2y = 6 – 3x.First…

Q: Find the equation of the line passing through the point (7, 2) and perpendicular to the line 5y = 9…

A: If two lines are perpendicular then product of their slopes is equal to -1 Now, slope of line…

Q: Find an equation of the line that satisfies the given conditions. Through (-2, 3); perpendicular to…

A: Here we find the equation of the line that satisfies the given condition .Through -2,3 ;…

Q: Find an equation of the line perpendicular to 3x - 2y = 7 that contains the point (1, 5).

A: we have to find the equation of the line perpendicular to 3x-2y=7 that contain the point (1,5).

Q: Find equations of the lines that pass through the point (0, 4) and are (a) parallel toand (b)…

A: Given,         The equations of the lines that pass through the point 0,4 and the line 5x+2y=3.

Q: Find the point on the line 6x+ 5y + 5 = 0 which is closest to the point (0, 2).

A:

Q: ) Find an equation of a line that is perpendicular to both u = and v m and contains the point (2,3,…

A:

Q: find the line that is perpendicular to 4x-7y=10 and goes to through the point (-1,2)

A: Let y be the required line.Given that, the line that is perpendicular to 4x − 7y = 10.Write 4x − 7y…

Q: Find the point on the line y = 2x that is closest to the point (5, 2).

A:

Q: Find equations of a line perpendicular to the lines x = y = z and x = 2y = 3z, passing through the…

A:

Q: Find the equation of the set of all points that are equidistant from the points P = (1,0, -2) andQ =…

A: Given: P=1,0,-2 and  Q=5,2,4

Q: Find the equation of a line that is parallel to the line m graphed and passes through the point (3,…

A: The slope point form of equation of line is y-y1=mx-x1,where  m  is the slope of the line and x1,y1…

Q: Find the equation of the line  passing through the point (1,6) and parallel to the line 3y=4x-8

A:

Q: Find the equation of the line which contains P(1,5) and which is perpendicular to the x axis

A: Given, the equation of line contains the point (1,5) and is perpendicualar to x-axis.

Q: find the equation of the line passing through the point ( 2,3) and perpendicular to the line 2y = 6…

A: In the given question it is required to calculate the equation of line passing through (2,3) and…

Q: Find the equation of the line L that passes throught point P(-6, - 3, - 7) and Q(0, 3 + t

A: The solution is given below.

Q: the

A: We will find the point.

Q: Find the equation of the line L that passes throught point P(3, 8, - 1) and Q( – 7, – 5, 8). | r(t)…

A: Given points:              P(3, 8,-1) and Q(-7,-5, 8) Let p¯ and q¯ be the position vectors of P and…

Q: Find the line that passes through the point P(1.2) and the point of intersection of two lines x +2y…

A: Find the equation of a line that passes through the point P(1,2) and the point of intersection of…

Q: Find an equation of the line that passes through the point (2, 4) and is perpendicular to the line…

A: Given : To determine the equation of the line passing through the point 2,4 and perpendicular to 3x…

Q: Find the point on the line – 5x + 3y – 5 = 0 which is closest to the point (4, – 2).

A:

Q: Choose the equation of the horizontal line that passes through the point (2, 3). x = 2 Ox= 3 Oy= 2…

A: The horizontal line passing through the point (2, 3) The horizontal line has the equation y = b if…

Q: Find and graph the equation of line that passes through the point(0,-3) and is perpendicular to the…

A: Given that, The line passes through (0,-3) and perpendicular to the line 6x-3y=9   As we know, If…

Q: Find an equation for the line with the given properties. Perpendicular to the line - 4x+9y = - 46;…

A: Given Data: The equation of the line perpendicular to the required line is: -4x+9y=-46 ......(1) The…

Q: find an equation of the line l that passes through the point (-2,9) and satisfies the condition l…

A: Here we find the equation of the line l that passes throughthe point -2,9 and satisfies the…

Q: Find the Equation of the line that is perpendicular to the line 3x + 4y = 7 and goes through the…

A: The given equation of line is 3x+4y=7the slope of the line ax+by+c=0 is given by -abtherefore,for…