Find the equation in general form of a line perpendicular to 2x + 3y – 9 = 0 that passes through the point (2, –1). What are the x and y intercepts of your line?

Q: Find the equation of the line that is parallel to 4x – 5y = 2 and whose distance from the given line…

A: 4x-5y=2⇒4x-5y-2=0 Since the required line is parallel to given line, therefore it is in the form of…

Q: Find the equation of the line that is parallel to 4x-5y = 2 and whose distance from the given line…

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Q: Find an equation for the line perpendicular to the line −3x−3y=−4−3x−3y=−4 having the same…

A: It is known that, let m1 and m2 be the slope of the perpendicular lines then m1×m2 = –1.

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

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Q: Q2): Find the equation of the line passes through p(2,-4,5), normal to 971. x+8 = 2t, y-5= 3t, 1 -z…

A: Given problem:- Find the equation of the line passes through p(2,-4,5), normal to x + 8 = 2t, y - 5…

Q: Find the equation of the line that (a) has y- intercept of 3 and (b) is parallel to the like…

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Q: Which of the following is the Cartesian equation of the line passing through C(2,-1) and parallel to…

A: We can find the equation of line as below

Q: Find an equation of the line that is prependicular to the line 4x + 6y + 5 = 0 and passes through…

A: The equation of a line is the relation between the x-coordinate and y-coordinate of any point on the…

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 an equation for the line which passes through the origin and is perpendicular to  2x + 3y = -2

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Q: Find the y -intercept of the line by substituting 0 in for x and solving for y. -5x+3y=-60

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Q: The distance of the line 7x+ y- 5=0 from the origin is A 2 B V2 D2/2

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Q: Find an equation for the line perpendicular to 3x+6y=18 and goes through the point (3,−4) Write your…

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Q: Find an equation for the line perpendicular to 2x+6y=24 and goes through the point (8,10) Write your…

A: given line   2x+6y=24   slope of line perpendicular to given line

Q: Create the equation of a line that is perpendicular to 3x + 2y = 10 and passes through (-4, 3). For…

A: We have the equation of line 3x+2y=10. Now,           3x+2y=10⇒2y=10-3x⇒y=10-3x2⇒y=5-32x Slope =…

Q: Find the equation of the line perpendicular to the line 3x + 4y + 6 = 0 and making intercept -4on…

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Q: Find the equation of the line perpendicular to -x - 4y = 6 and passes through the point whose…

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Q: find the equation of the line parallel to 8x+13y=16 and passing through the point (0,16).

A: Given equation of a line 8x+13y=16 and a point 0,16 through which a parallel line passes. To find…

Q: Find an equation for the line parallel to 4y+20x=32and goes through the point (−9,6). Write your…

A: Given line  4y+20x=32

Q: Write the equation of the line that passes through the point P(0,0) and is perpendicular to the line…

A: Given:     y = - 10x + 2  Point: ( 0 , 0)

Q: Find the equation of the line perpendicular to 8x + 2y = 1 passing through the point (4, Y = -X

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Q: Find the equation of the line perpendicular to the line 3x + 4y +6 = 0 and making the intercept -4…

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Q: Find an equation for the line perpendicular to the line 8x−6y=−28x−6y=−2 having the same y-intercept…

A: Given equation of line 8x-6y=-2 .....(1) Another equation of line is -6x+2y=4 .....(2) Now we will…

Q: Find the equation of the line which goes through (-2,3), and is perpendicular to -3x+2y=4.

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Q: Find the equation of the line containing the point (3, 4) and parallel to the line 2x+y=-3. OA.…

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Q: Find an equation for the line parallel to 3y+15x=27  and goes through the point (−10,−1) Write your…

A: To find equation for the line parallel to 3y+15x=27, we will need to find the slope of the line.We…

Q: Find an equation for the line perpendicular to 4x+20y=40 and goes through the point (7,4). Write…

A: Let's find equation of line.

Q: Find an equation of the line in form ax+by=c, with y intercept 9 and perpendicular to x+7y=17.

A: We need to find the equation for a line with y intercept 9 and perpendicular to another line, whose…

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

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Q: Find the equation of the line perpendicular to 2x+3y=1 and whose distance from the origin is 7.

A: Given equation of line is  2x+3y=1 The distance of the line perpendicular to 2x+3y=1 from origin is…

Q: Find the point on the line y = 5x + 4 that is closest to the origin. (х, у) %3

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Q: Find the point on the line whose equation is 2x + y - 2 = 0  that is closest to the origin.

A: we have to find the point on the line whose equation is 2x+y-2 = 0  that is closest to the origin.

Q: Find the equation of the line parallel to 3x + 4y = 7 passing through the point (0, –3). y = 3/4x-3

A: We have to find the slope of the line first then have to solve it.

Q: Find an equation for the line perpendicular to 2x+4y=28 and goes through the point (-2,3). Write…

A: topic- equation of line perpendicular to given line

Q: Find the equation of the line that contains the point P(−2, 0) and is perpendicular to the graph of…

A: Given,           The required equation of the line is perpendicular to the line

Q: Find the equation of  the line under the following conditions: perpendicular to 8x +  3y  -27=0…

A: Given equation is 8x+3y-27=0 and point (-16,-8) find a equation of a line

Q: Find the general equation of a line which is perpendicular to the line x + 2y = 7 and having a…

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Q: Find the equation of the line perpendicular to -x - 4y = 6 and passes through the point whose…

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Q: Find an equation of the line that satisfies the given conditions. y intercept 6; parallel to the…

A: y-intercept of the line is 6 and is parallel to the line 2x+3y+4=0. Now the slope of the line…

Q: Find an equation for the line perpendicular to y=-1/3x+6 with x intercept at x=4. Answer in y=mx+b…

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Q: Find the equation of a line that is perpendicular to the line 5x+5y=15 and passes through the point…

A: Write the given equation in the slope intercept form and find its slope as follows.

Q: Find the equation of the line that passes through the points of intersection of the curves y^2 = x…

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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 the equation of the line perpendicular to 2x + 3y = 1 and whose distance from the origin is 7.

A: we have to find the equation of the line perpendicular to the line 2x+3y=1 and whose distance from…

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…

Q: Find the equation of the line with the given description. Perpendicular to 3x + 5y = 9, passes…

A: First we write 3x+5y=9 in form of y=mx+b to find the slope of it So slope of 3x+5y=9 is -3/5

Q: Find the equation of the line that passes through the point (2, – 1) and is perpendicular to the…

A: To find the equation of line passes through the point (2, - 1) and perpendicular to the line given…