. Two points in the standard (x, y) coordinate plane have coordinates (-2,9) and (-4,-3). What is the slope of the line connecting these two points?

Q: A line that passes through the origin in the xy-plane has a slope of . Which of the following is a…

A: Topic:- equation of line

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: A line passing through (0, –3) and is perpendicular to y =;x – 4. х —

A: The given line passing through the point 0,-3 and it perpendicular to the line y=52x-4. Calculation:…

Q: Find the equation of the line containing the point  P(4, 4)  and parallel to the graph of  5x + y…

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Q: Find the slope and concavity of the curves at the given points. r = θ, θ = 0, π/2

A: Consider the formula for the derivative for polar curve. The slope is equal to the derivative at…

Q: Find the equation of the line containing the point P(4, 5) and parallel to the graph of 4x + y = −1.

A: We first find the slope of 4x+y=-1y=-4x-1compare this with y=mx+bm=-4slope=-4

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

A: y=1;(2,6)

Q: If slope of the line passes through the points K (x1, (5+6) and H (x2, -1)is and the midpoint…

A: Given that the line passes through K(x1,5+6) and H(x2,-1).That is,K(x111)and H(x2,-1).The slope is…

Q: Two points in the standard (x, y) coordinate plane have coordinates (-2,9) and (-4,-3). What is the…

A: given two points(-2,9) and(-4,-3)slope of line is (m)=y2-y1x2-x1m=-3-9-4-(-2)m=-12-2m=6

Q: Find the line L, that passes through the point P(-2,2) and perpendicular to the line L2: 2x+y=4.

A: We need to find equation of line L1 passing through (-2,2) and perpendicular to line L2 : 2x+y=4

Q: Find an equation of the line that satisfies the given conditions. Through (4, 6);  perpendicular to…

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Q: If the slope of a line in the standard (x, y) coordinate plane is 0, and one point on the line is…

A: Given, Slope of a line in x-y plane is zero and one point on the line is (5,1)

Q: Points: А: (27, 41) B: (8, 31)

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Q: Determine the value of A so that the line whose equation is Ax + y - 2 = 0 is perpendicular to the…

A: Given: Ax+y-2=0 we know that slope of given line ax+by+c=0 is given by slope=-ab similarly, slope m1…

Q: If a line intersects the x-axis at 'r' and the y-axis at '1/r', at what point (x,y) does it…

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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: Determine the midpoint of the line segment between A and B shown below: 2 -3 -2 -1 1 2 3 -1 -2 - -3…

A: It can be observed that the point A is and the point B is . According to the Midpoint formula, the…

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

A: In the given equation of y,  x is missing   y=-2x3-3   The equation is of the form        y=mx+b.…

Q: Find an equation of the line that satisfies the given conditions. Throught (-1,2); parallel to the…

A: Line passes through the point -1, 2 and parallel to the line x=5. The line x=5 represents a vertical…

Q: Is the line through the points (3, 4) and (-1, 2) parallel to the line 2x + 3y = 0? Justify your…

A: Given two points: 3, 4 and -1, 2            ……1   Given line: 2x+3y=0                       ……2

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: Consider the line which passes through the point P(2 -3, -4), and which is parallel to the line x =…

A:

Q: What is the slope of the altitude from vertex B to side AC of a triangle whose vertices are at A(2,…

A: Given problem:- What is the slope of the altitude from vertex B to side AC of a triangle whose…

Q: Find the point ( x, y) such that (1, 3) is the midpoint of the line segment connecting а. (х, у) and…

A: NOTE-Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: Select all points on the line with a slope of -- that go through the point (4, -1). А. (-2, 2) В.…

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Q: Determine the Cartesian equation of the line passing through A(4, -2), which has 7=(5, 3) as its…

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Q: Find thw equation of the line joining the points (5,9) and (-4,-6)

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Q: If slope of the line passes through the points K (x1,(5+B)) and H (x2, -1 )is – and the midpoint…

A: Suppose we have two points Ax1,y1 and Bx2,y2 . Slope of line passing through the points A and B is…

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

A:

Q: What is the value of such that the lines 3kx + 8y = 5 and 6y - 4kx = -1 are perpendicular and 3kx +…

A:

Q: If the slope of a line in the standard (x, y) coordinate plane is 0, and one point on the line is…

A:

Q: B. Find the inclination of the line whose slope is given: 1. 1 2. -1 3. 2/3 4. -3/5 5. -V3.

A: To find the inclination of the line.

Q: Find an equation of the line that satisfies the given conditions. Through (−5, 5); perpendicular to…

A:

Q: The product of the slopes of two nonvertical perpendicular lines is

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

A:

Q: Find the equation of a line that is parallel to the line m graphed and passes through the point (3,…

A: The slope point form of equation of line is y-y1=mx-x1,where  m  is the slope of the line and x1,y1…

Q: Determine the value of A so that the line whose equation is Ax + y = 2 is perpendicular to the line…

A: We are given 2 lines: The first (l1) has the equation Ax+y=2 The second l2 passes through the points…

Q: Find the distance between the points (3, 8) and (-1, 11) and the slope of the line containing them.

A: We need to find the distance between (3, 8) and (-1, 11). Compute the distance between x1, y1, x2,…

Q: 7 The equation of a line parallel to the line y =x+1 is:

A: Two lines are said to be parallel when slope of lines are equal Here given equation y = (7/3)x +1

Q: The slope of a horizontal line is ---Select-- ; The equation of the horizontal line passing through…

A: The slope of a horizontal line is zero.

Q: If a line passing through (-4,3) cuts off the smallest area from the second quadrant in a coordinate…

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Q: Find an equation of the line that satisfies the given conditions. 1 Through (-2, 2); perpendicular…

A: Here we find the equation of line satisfies the given condition through-2,2 ; perpendicular to the…

Q: Consider the two points defined as: (1/2,-3) and (-1/6,- 1/2).The distance between the points is:

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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: Determine the value of A so that the line whose equation is Ax+y−7=0 is perpendicular to the line…

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Q: Use the fact that for points (a1, b1) and (a2, b2) in the coordinate plane, we can calculate the…

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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: What is the slope of the line in the xy-plane that passes through the points and A) -1 B) 3 C) 1 3…

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.