Find the equation of the line in the form y=mx+b between the points (1,2) and (5,-3). Leave all answers in exact (fraction) form.

Q: find the equation for the line perpendicular to y= 2x-5 that goes through the point (1,7).

A: Given : line y = 2x - 5 Point (1,7)   To find : Equation of the line which is perpendicular to the…

Q: Find the equation of the line using (2,0) and (-2,5)

A: Use the Given Points are We Find the Equation of the line.

Q: Find the equation (in terms of xx) of the line through the points (-4,-1) and (3,-4)

A: The line passing through the points (-4,-1) and (3,-4)

Q: Solve for y and write an equation for a line perpendicular to y=−5x−3 and passing through the point…

A: The line perpendicular to the line y=-5x-3 and passing through the point 15,4

Q: Find an equation of the line containing the point (-5,1) and perpendicular to the line -2x=3-4y.

A: We have given the line -2x=3-4y.Find its slope.

Q: Find the equation of the line passing through the point (-4,8) and perpendicular to the line…

A: Consider the given: 3y=7-2xDivide the equation by 3:3y3=7-2x3y=73-23xCompare it with y=mx+chere,…

Q: Find an equation for the line containing the points (-1, 2) and (4, 1).

A: Given: -1,2 and 4,1

Q: Write the equation of the line that passes through the point (3,5) that is parallel to: y=6x– 1…

A:

Q: Find the point on the line 4x + y = 7 that is closest to the point  (−4, 2).

A: Let P(x,y) be the point on 4x+y=7 y=7-4x Distance   D2=x+42+y-22Z=x+42+7-4x-22Z=x+42+5-4x2

Q: Find the equation (in terms of x) of the line through the points (-3,2) and (4,4)

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Q: Find an equation of the line through the point (3, 2) that is parallel to the line 2x +y +5 = 0.

A:

Q: find the equation of the line passing through (2,3) and the point of intersection of the lines 2y-x…

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Q: Write the equation that is parallel to the line y=2x+5 and passes through the point (3,1)

A:

Q: Find the equation of the line through (2,-2) which is perpendícular to the line y =+7.

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Q: Find the equation (in terms of x) of the line through the points (-1,-5) and (2,-1) y=

A: Equation of a line has the common form y=mx+c. Here m is the slope and c is the intercept. This…

Q: Find the equation of the line containing the points (2,3) and (0,-3)

A:

Q: Find an equation for the line that contains the point (2,-3) and is parallel to the line . 2x + y =…

A: First of all use the slope intercept form of equation that is y=mx+c, where m is slope and c is some…

Q: Find the equation of the line that passes through the points (2, 1) and (-3,2).

A:

Q: Write the equation of the line that is parallel to y=9x + 4 and crosses the y-axis at -3. O y=9x+3 O…

A: The slope-intercept form of a line is given by y=mx+cwhere m=slope             c=y-inercept Given…

Q: Find an equation in the form y   =   mx   +   b for line. Through (2, -3) and (-3, 4)

A: The given two points are (2,-3) and (-3,4) To form equation of line in terms of y=mx+b

Q: Write an equation for a line parallel to y 5x +1 and passing through the point (1,2)

A:

Q: point on the line

A: I

Q: Find the equation (in terms of x) of the line through the points (-1,-2) and (4,3) y =

A: SOLUTION-

Q: Find the equation (in slope-intercept form) of the line containing the points (-3,0) and (1,5). Y

A:

Q: Find the equation of the line through (0,-2) (a) parallel and (b) perpendicular to the line 2x-y=4

A:

Q: Find the equation of the line in slope intercept form that passes through the point (4, -4) and is…

A: The line passes through the point (4, -4) and is parallel to x + y = -4.  Slope intercept form:…

Q: Find the point on the line 2x + y = 5 that is closest to the point (-4, 3). (x, v) = (

A: We haveThe line 2x+y=5 closest to the point −4,3

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

A:

Q: Find the equation (in terms of x) of the line through the points (-4,-3) and (3,11)

A: Given: To determine the equation of line through the points (-4, -3) and (3,11)

Q: Find the coordinates of the point on the line 2x + y = 3 closest to the point (2, 2)

A: Given equation of line is  Let the point on the line be (x,y) Then, distance between points (x,y)…

Q: Find the equation (in terms of æ) of the line through the points (-1,-6) and (1,-2) y =

A: Solution

Q: find the equation for the line parallel to y= 2x-5 that goes through the point (1,7).

A: The equation of line is y=mx+b, where m is the slope.

Q: Find the equation of the line in slope intercept form parallel to 5x + 2y = – 2 and goes through the…

A: topic - equation of a line parallel to given line and passing through a point slope of parallel…

Q: Find the equation of the line through the points (12, – 9) and (18, – 10). -

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Q: Find the equation (in terms of x) of the line through the points (-2,-5) and (3,1) Y :

A:

Q: Determine the equation of the line perpendicular to y = 3x - 4 passing through the point (5, -3)

A:

Q: Find the coordinates of the point on the line 2x+y=3 closest to the point (-2,2).

A:

Q: Find the equation for the line passing through the point (3,2) and parallel to the line whose…

A: Any line parallel to the line y=2x+13 is of the form y=2x+c where c is some constant.

Q: Find the equation (in terms of x) of the line through the points (-2,5) and (2,-7) y =

A:

Q: Find the point on the line 4x + y = 9 that is closest to the point (-3, 1). (х, у) %3

A: 4x+y=9 and the point is -3, 1. Let x, y be the required point on the line. Now the distance between…

Q: Find an equation for the line that passes through the point (2, -5) and is parallel to the y-axis

A: To find the equation of line passes through the point 2,-5 and is parallel to the y-axis. We know…

Q: Find the point on the line y=3x-10 that is closest to the origin.

A:

Q: Find the equation (in terms of xx) of the line through the points (-3,-3) and (2,1)

A: The slope of the line joining (-3,-3) and (2,1) is

Q: Find the point on the line y = 2x + 1 that is closest to the point (5, 2).

A:

Q: The line parallel to y=2x-5 that goes through the point (1,7)

A:

Q: Find an equation for the line that contains the point( 2,3) and is parallel to the line . 2x + y = 6

A: we have to find the equation of the line that contains the point( 2,3) and is parallel to the line…

Q: The distance of the line 7x+y- 5=0 from the origin is

A: We have to use distance formula to solve the question

Q: Find an equation of the line perpendicular to 3y = x – 3 that passes through the point (8, –7).…

A:

Q: Write the equation of the line parallel to y= 3/2x+3  that passes through the point(−6,1).

A:

Q: Find the point on the line y = 3x-1 closest to the point (-1, 1)

A: Line is y=3x-1 and the point is -1, 1. Let x, y=x, 3x-1 be the point on the line y=3x-1 that is…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.