Use the result in Exercise 20 to find the equation of the line that contains (4, 5) and is parallel to the graph of 2x + 3y = 6.

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: 27

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Q: Find the general equation Ax + By = C for the line with slope m = y intercept - 2. - and %3D

A: Given: The slope of the line is -23. The y-intercept is -2.  Formula used: Slope intercept form. The…

Q: prove that the equation 2x²+3xy-2y²-x+3y-1=0 represents a pair of perpendicular lines

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Q: Write down in normal form the equation of the line which is (a) parallel to the line r (5i +3j) = 2…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find an equation of the line that satisfies the given conditions. Throught (2,6); perpendicular to…

A: y=1;(2,6)

Q: Suppose the symmetric equations of lines l1 and l2 are = 2 – y = z and x = -1, 2 3 espectively.

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Q: Find the equation of the line through point (2, 1/2, -3) and is perpendicular to the plane -x+4y+3z…

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Q: Sketch the lines 3x+ 4y 7 and x- 2y = 6, and find their point of intersection. Hint: Their point of…

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Q: Prove that the equation 2x2+xy-6y2+7y-2=0 represents a pair of straight lines

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Q: Prove that the equation 2x²+3xy-2y²-x+3y-1=0 represent the pair of perpendicular line

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Q: Prove that the equation 2x²+3xy - 2y-x+3y -1= 0 represents a pair of perpendicular lines.

A: Given that: 2x2+3xy-2y2-x+3y-1=0

Q: Find the equation of the line parallel to 8x +4y = 1 passing through the point (0, 1). %3D

A: Given equation is 8x+4y=1 We have to find the equation of line parallel to 8x+4y=1 passing through…

Q: Find the equation of the line that passes through the point (3, 5) and is parallel to the line 2x +…

A: Given,          The equation of the line that passes through the point 3,5 and is parallel to the…

Q: Determine the symmetric equations of line that passes through the points B and С.

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Q: 3. Show that the lines L1 : x = 2+t, y= 2+3t, z = 3+t and L2:1 = 2+t, y= 3+ 4t, z = 4 + 2t…

A: L1: x =2+t , y= 2+3t , z= 3+t  L2: x =2+t , y= 3+4t , z= 3+t

Q: Use the given condition to write an equation for the line in slope-intercept form. Passing through…

A: It is given that the line passes through (5,4) and is perpendicular to the line

Q: Find an equation of the line through the point (5, 2) that is parallel to the line 4x + 6y +5 = 0.

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Q: Find the stope intercept equation of a line that has y hntercept of 4 and is parallel to the line 5x…

A: Given query is to find the equation of the indicated line.

Q: Sketch a graph of the plane 2x + y = 8 and label any intercepts.

A: 2x + y = 8 x intercept:    Put y = 0 2x + 0 = 8 2x = 8 x = 4 x intercept is (4, 0).

Q: Show that the perpendicular let fall from any points on the straight line 7x - 9y + 10 = 0 upon the…

A: See the details solution in below

Q: Give the equation of the line passing through the point (– 3, – 9) that is parallel to y =

A: We will find the equation of the line.

Q: What is an equation of the line that passes through the point (–6, –6) and is paralle to the line x…

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

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Q: Prove that the equation 2x²-3xy-2y²-x+3y-1=0 represents a pair of perpendicular lines

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Q: Use the result in Exercise 21 to find the equation of the line that contains (5, – 1) and is…

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Q: Prove that the equation 2x2+3xy-2y2-x+3y-1=0 represent the pair of perpendicular lines

A: To Prove that the equation 2x2+3xy-2y2-x+3y-1=0 represent the pair of perpendicular lines

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: Determine the equation of the line in explicit form y=mx+b passing through the two points (-2,3) and…

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

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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: The line joining the origin and Pomt of of the linesr (X=1+2t,42-3+4t. y=-5+3t 2 Ction ,zet) and

A: Let the parameter of line L1 is t = t1 and the parameter of line L2 is t = t2. To find the point of…

Q: E. Show that the lines 3x - 5y + 19 =0 and 10x + 6y -50 =10 are perpendicular and find their point…

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Q: Find the equation of the line that passes through the point (–3, 2) and is perpendicular to the line…

A: We have to find the equation of a line that passes through the point -3,2 and is perpendicular to…

Q: How do you compute |PQ| from the coordinates of the points P and Q?

A: Suppose the coordinates of P and Q  are given as, a,b and c,d. Then to compute PQ⇀,   PQ⇀=c-a2+d-b2…

Q: Find an equation for the line with the given properties. Parallel to the line 3x + 2y = 17;…

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Q: Use the result in Exercise 21 to find the equation of the line that contains (4, 5) and is…

A: Given- 2x+3y=6 To find- The equation of the line which is passing through the point 4,5 and…

Q: Prove that the equation 2x2+3xy-2y2-x+3y-1=0 represents a pair of perpendicular lines

A: Solution: The objective is to find whether the given equation represents a pair of perpendicular…

Q: Use slopes to verify that the graphs of the equations Ax + By = C and Bx - Ay = D are perpendicular.…

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Q: The lines joining the origin to the point of intersection of the line lx+my=1 and y²=4ax are at…

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Q: 1. Show that the lines 2x + 3y = 1 and 6x - 4y - 1 0 are perpendicular.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

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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: What is the y-coordinate of all points in the xz-plane?

A: Plane: The y-coordinate of all points in the xz plane , i.e. we need to put y=0.

Q: show.. that. the line in.which. and. .5Xm2y.Z==.0. jntersect..is

A: Equation of the plane: - In three-dimensional space, a plane surface is represented by an equation…

Q: 45. Parallel to -3x + 4y = 12, passing through (-4, – 6)

A: The line is parallel to -3x+4y=12, passing through -4,-6

Q: Prove that equation 2x2+xy-6y2+7y-2=0 represents a pair of straight lines

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Q: Show that the equation of the line in R' through distinct points (1, Y1) and (x2, Y2) can be written…

A: We have to show that the equation of the line in R2 through distinct points x1,y1 and x2,y2 can be…

Q: parallel to the line 2x+3y+4=0

A: Equation of line passing through point and with slope m . (y-y1)=m(x-x1)  if two lines are parallel…

Q: Show that the product of the perpendicular distances from the origin to the pair of straight lines…

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