(i) Find the coordinates of the points of trisection of the line segment joining (4,-1) and (-2,-3).

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

A:

Q: The pair of lines definod by the equations y =- 3x +1 and y =-x +1 are A. parallel to each other. B.…

A:

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

A: We know that if two lines are perpendicular then product of there slope is negative one Where,…

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

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: equation

A:

Q: Find the distance between the points a 1 - 2 (−1) and b Distance = -4 -4 3

A: This question can be solved using the concept of distance formula.

Q: Find the point(s) of intersection of the line y=7x-42 and the circle with equation x2+y2-4x+6y=12.

A:

Q: y A -7- 6+ -5+ 4- -3- -2+ -7 -6 -5 -4 -3 -2 -1,0 1 2 3 4 5 6 7 -2+ -3+ -4 -5- -6- ) What is the…

A: Using a tringle and Pythagoras theorem

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: 4. Find the angle that the line 2y - 9x- 18 = 0 makes with the x - axis.

A:

Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

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: The equation of the line passing through the point (-8,1) and perpendicular to the line 4x+3y=12 is?

A:

Q: find an equation of a line that passes through the point (-1,8) and is parralel to 3x+4(y-1)=3 and…

A: Line 1 is given as,

Q: Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line of…

A: Given equation of planes arex+2y+z = 8x+y-z = 2Firstly, determine the intersection lines of two…

Q: Consider the line 3x – 2y = 7. What are the coordinates of the y-intercept for this line?

A: Consider the given equation of the line. 3x - 2y =7 At y intercept, x coordinate is zero.

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 the equation of the line passing through the point (3, 1) and perpendicular to –31+y= 12.

A:

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 the line L passes through the point (-2.2) and perpendicular to the line L': 2r+y 4.

A: Given : The line L passes through the point -2,2

Q: Find the equation of the line passing through the point (1, 6) and perpendicular to equation 2x + 3y…

A:

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 equation of the line passing through the point (4,2) and perpendicular to the line…

A: Given: The point (4,2) and the line 4x-12y+3=0 To find: The equation of line passing through the…

Q: Find an equation of the line perpendicular to 3x - 2y = 7that contains the point 11, 52.

A:

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

A: Equation of given line is  Comparing it with y=mx+c, we get Now, we know that product of slopes of…

Q: Parallel to the line 2x- 3y=-4; containing the point (-5,3)

A: slope of two parallel line are equal.

Q: -1 + x 2x-7 R 19

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 midpoint M of the line segment joining the points A = (6, -5) and B = (-4, 1)

A: A = (6, -5) B = (-4, 1) To be found - Co-ordinate of M, the midpoint of A & B

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

A:

Q: Find the equation of the line bisecting the acute angles formed between the lines x + 7y – 6 = 0 and…

A: The general equation of a straight line is y=mx+c, where m is the gradient, and y=c is the value…

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 that 2 is perpendicular to y = -x and contains the point (4,-8). %3D 3

A: If two lines are perpendicular then the product of their slopes is -1. The required line is…

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 an equation of the perpendicular bisector of the line segment joining the points A(3,0) and…

A: Given that the two points are A(3, 0) and B(7, –4).The slope of the segment AB is calculated as…

Q: Find the midpoint of the line segment joining the points P1 and P2 . Equation: y3 = x + 1Points: (1,…

A: Given y3=x+1 Points: (1, 2); (0, 1); ( - 1, 0)

Q: Find the equation of the line passing through the point (1,6) and perpendicular to the line y=3x-9.

A: y=3x-9   ⇒3x-y=9    ∴The slope of line is +3    ∴The slope of line which is perpendicular…

Q: Create the equation of aline that is perpendicular to 2y = 14 + and passes through the point (-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: 1- Write the slope-intercept equation of the line tangent to the curve at the point (1, 6). 3x? — ху…

A:

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 the equation of the line passing through the point (- 3,1,4 ) and parallel to the z-axis

A: here is parallel to z axis  means direction point are (0,0,1) line equation is (x-a)/0 =(y-b)/0…

Q: Find the equation of the line that goes through the point (8, -3) and is perpendicular to the graph…

A: A line is a graph of an equation of the form ax+by=c. Equation of a line is uniquely determined if…

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: 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…