(2,1) From the graph, find the midpoint of the line segment with endpoints of (- 2, 1) and (4, 3). midpoint coordinates: (

Q: Find the distance, to the nearest hundredth, between the given points. P1(0, 7) and P2(-4, 8) Find…

A: We need to find the distance.

Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

A:

Q: find the distance from the point (2,5) to the line y=2x.

A: Refer  to the question,The distance from a point to the line is the shortest distance between the…

Q: Find the midpoint of the line segment from p1=(-5,5) top2=(3,1) . Plot the points p1 and p2 and…

A: The mid-point formula states that the mid-point of the line joining the points x1,y1 and x2,y2 is…

Q: find the distance from the point to the line. (0, 0, 12); x = 4t, y = -2t, z = 2t

A:

Q: Use the slope-intercept form to find the slope and y-intercept of the given line, and sketch its…

A: Given the equation of the line, x-5y=-15

Q: Find the distance from the point to the line. (-4, – 2,1); x= 5 – t, y = 1- 2t, z = - 6 + 3t

A:

Q: find the midpoint of the line segment whose endpoints' coordinates are (4,6) and (-2,4) using the…

A: find the midpoint of the line segment whose endpoints' coordinates are (4,6) and (-2,4) using the…

Q: Find the distance between the point P(-2,4) and the line 3x-4y 12

A: Find the distance from the point P (–2, 4) to the line 3x – 4y = 12.

Q: The slope is 5 passing through (-1,4). What is the standard form and slope intercept form?

A:

Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

A:

Q: Find x²z ds, where C is the line segment from (0,-5,4) to (2,-7,8)

A: C is line segment from (0,-5,4) to (2,-7,8). parametric equations of C are: r(t)⇀=(1-t)r0⇀+tr1⇀  ,…

Q: Find the distance from the point P(2,1) to the line y = x + 2 *

A: Given point is P(2,1) and the line is given as y=x+2 1x-1y+2=0 The formula to find the distance…

Q: find the distance from the point to the line. (3, -1, 4); x = 4 - t, y = 3 + 2t, z = -5 + 3t

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

Q: What is the midpoint of the line segment? Drag the coordinates to the boxes to correctly match the…

A:

Q: Find all points having a y-coordinate of - 3 whose distance from the point   (1, 2) is 13.

A: Consider the points are A = (x,-3) and B=(1,2) The distance between A and B is 13 units.   If the…

Q: Find the distance from the point to the line. Knowing that the point Po (2, 1, 3), x= 2+2t, y= 1+6t,…

A: The distance of a point P from a line passing through the point Q and parallel to the vector v→ is…

Q: Find all points on the circle x2 + y2 = 100 where the slope is 3/4.

A: Given equation of circle, x2+y2=100                          ...(1)

Q: Find the slope of the curve y = 2x* + 3x + 2x? - 1 at a point where it crosses the x-axis

A: The point where y crosses x-axis the value for y is 0. Find the value for x for which y = 0.…

Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

A: Let the line segment be AB , where coordinates of A & B are 3,-2 & 5,-1 .Let the three…

Q: . Find an equation for the line containing the points ( - 2, 5) and (4, - 1). What is the distance…

A: Equation of the line: The equation of the line containing the points x1, y1 and x2, y2  is…

Q: Find the slope m and the y-intercept of the line. slope yrintercept (x. v) -

A: Equation of the line which is having slope m and y-intercept (0, c) is y=mx+c

Q: find the distance from the point to the line. (2, 1, -1); x = 2t, y = 1 + 2t, z = 2t

A: We have to find distance from the point 2,1,-1 to the line x=2t, y=1+2t, z=2t

Q: Find the distance between the line 3x − y = 0 and the point (2, −4).

A:

Q: find all points on the y-axis that are a distance of 6 from the point (3,-1)

A: Let the point is (0,y).

Q: Find the distance between the point (-1, 5, 3) and the line given by x = 5 + t, y = 1 - 2t, and z =…

A:

Q: Find all points on the y-axis that are 6 units from the point (4, - 3).

A: Consider the point A(4, - 3) which is 6 units from the point B(0,y).

Q: What is the midpoint of the line segment? Drag the coordinates to the boxes to correctly match the…

A:

Q: Find the equation of the line that contains the points (-4, 2) and (2, 1). Express the equation in…

A:

Q: Find the distance between the points (1,1) and (3,9) along the line y=4x-3

A: Since the points (1,1) and (3,9) lie on the line, so the distance between the points along the line…

Q: Find all points on the circle x2 + y2 = 100 where the slope is 3/4

A: Given circle x2+y2=100 .....(1)  where the slope is 34we have to find all points on the circle

Q: Compute the y-intercept of a line passing through the point (5,3) and a slope of ¾. a. -3/4    b.…

A:

Q: Find the distance, to the nearest hundredth, between the given points. P1(−5, −3) and P2(4, −2)…

A:

Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

A:

Q: Find the distance, to the nearest hundredth, between the given points. P1(-4, -9) and P2(-1, -3)…

A: Mid point between two cuvers.

Q: Give the equation of the line passing through the point (12, – 21) that is perpendicular to - 9. y =…

A:

Q: Find the point on the x-axis that is equidistant from the points (1, 2) and (2, 3). The coordinates…

A: soln:point on x-axis which is equidistant from the points 1,2 and 2,3

Q: Find the equation of a line perpendicular to 4x+5y=3 that conatins the point (5,5). (write the…

A:

Q: Find the equation of a line tangent to the circle x² + y² + 2x-4y-31 = 0 at the point (5,2). Draw…

A: Equation of tangent line to circle

Q: Find the distance from the point (4, 3, 0) to the y-axis

A: We have to find the distance from the point 4, 3, 0 to the y-axis. We know that distance from the…

Q: Find a point slope form for the line with slope 1/5 and passing through the point (-1,-9)

A:

Q: 9. Find the slope-intercept form for the equation of the line which passes through the point (-7,…

A: Given that: A line passes through (-7, 13) and Origin.

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 distance, to the nearest hundredth, between the given points. P1(9, 3) and P2(11, 1) Find…

A:

Q: Find the length of the curve y= 2²-√√x, 4 ≤ x ≤9. 23/2 3

A: To find the length of the given curve.

Q: Find the slope of horizontal line y = 3 which passes through the points A = (0,3) and B = (1,3)?…

A: As we know the formula for the slope of the line with two given points are, Slope =m=y2-y1x2-x1…

Q: find the distance from the point to the line. (-1, 4, 3); x = 10 + 4t, y = -3, z = 4t

A: Given  Point = P (-1, 4, 3) Equation of line : L1 :  x = 10 + 4t, y = -3, z = 4t Rewrite the…

Q: Find the point of the line y = 2x − 1 that is closest to the origin.

A:

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.