Write the vector and Cartesian (standard) equation of the line, given a point and slope below. A(3,-1),m=2 B(-2,3),m=-3/4

Q: Rewrite the given linear equation into the standard form of the equation of the line. y = 6x - 7

A: Given data: The given equation of the line is y=6x-7. The standard equation of the line is, Ax+By=C…

Q: find an equation of the line through the point A that satisfies the given condition. write the…

A: Given: A line passes through the point A6, -3 and parallel to the line 4x+3y=9. To Find:  To find an…

Q: Write an equation of the line parallel to AB that contains point C. AB: y = *+ 1: c0. 1) C(7, 1)

A: Since you have asked multiple questions in a single request, we would be answering only first…

Q: Determine the equation of the line that passes through (11,12) and is perpendicular to the line…

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Q: Find the Equation of the Line. 1. m = -3; y-intercept = 12 2. m = y-intercept -3 3. m = -2; (-1,4)…

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Q: Rewrite the given linear equation into the standard form of the equation of the line. 2x = 5y + 4

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Q: Plot the given point in a rectangular coordinate : (-5/2, 3/2)

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Q: 3. Write the equation of a line that is perpendicular and passes through the midpoint of AB with…

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Q: y, = 5x + 3 Y, = -5x – 2 4 =-r-2 Are the lines of any of these equations parallel to one another?…

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Q: In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5).…

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: Which of the following gives an equation of a line that passes through the point (,-) and is…

A: The required line is parallel to the reference line that passes through origin and (-2,-12). So, the…

Q: L (x, y) = 12 :45 10

A: The given contour diagram is:

Q: Write the equation of the line that passes through the given point and is perpendicular to the given…

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Q: Find the equation of the line that passes through A (1/2, 1/3) and which is (a) parallel to the line…

A: Equation of line parallel to R : 6y+18x=11 Equation of line perpendicular to R : 6y=2x+1

Q: Write an equation of a line passing through the point (-6, -3) and perpendicular to JK with J(-2,…

A: We will make use of the fact that the product of slopes of two perpendicular lines is equal to -1.

Q: Use point-slope form, y - y = m(x-x), to find the linear equation of a line that passes through the…

A: Given: (2,-1) and (10,7)We know that slope from two points (x1,y1)  and (x2,y2) is…

Q: Write the standard form of the equation of the line that is parallel to the graph of the given…

A: Topic- Equation of line

Q: Find equations of the lines that pass through the given point and are (a) parallel to and (b)…

A: We have to find the equation which is parallel to x-y=4 and passes through the point 2.5,6.8. Also…

Q: Which equation represents the line shown on the coordinate plane below?

A: Given graph of line is

Q: Rewrite the given linear equation into the standard form of the equation of the line. = 2y - 3

A:

Q: Write an equation of the line passing through the point A(−1, 5)A(−1, 5) that is perpendicular to…

A: Given     he line passing through the point A(−1, 5)A(−1, 5) that is perpendicular to the line y =…

Q: Find equations of the lines that pass through the given point and are (a) parallel to and (b)…

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Write the standard form of the equation of the line that is perpendicular to the graph of the given…

A: The given equation and points, 10. 2x-y+6=0 , 0,-311. 2x-5y-6=0, -4,212. 3x+4y-13=0, 2,7 The…

Q: B. Determine the symmetric equation of the line going through the points P(-2,0,3) and Q(1,3,7).

A: To find  The symmetric equation of the line going through the points p(-2,0,3) and Q(1,3,7)

Q: Write the general forms of the equations of the lines that pass through the point and are (a)…

A: the equation of the given line is y=-3. the given point is (-1,0). we have to write the general form…

Q: Consider the line L1 and L2 whose symmetric equations are a. Are L1 and L2 parallel? Perpendicular?…

A: Solved below

Q: Write an equation of the line containing the given point and parallel to the given line. Express…

A: Find the equation of line passing through the point (7,9) and parallel to the given line x+9y=2

Q: Write the equation of the line that passes through the given point and is parallel to the given…

A: Find the answer in the form of hand-written note for both the questions.

Q: An equation of a line through (0, 3) which is parallel to the line y = 3z +3

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Q: Find a general form of an equation of the line through the point A that satisfies the given…

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Q: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

A: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

Q: Give the equation of the line passing through the point (12, – 7) that is perpendicular to y 6 —х…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: b. Write the equation of the line that passes through the points (3, 2) and is parallel to the line…

A: We know that Equation of line passing through given point (x1,y1) having slope m is (y-y1)=m(x-x1)

Q: Find a general form of an equation of the line through the point A that satisfies the given…

A: The equation of a parallel line is given as 5x-2y=4 Convert the given equation in slope intercept…

Q: Show that the line with intercepts (a, 0) and (0, b) has the following equation. x/a + y/b = 1, a ≠…

A: The two points are given as , a,0 and 0,b. To find the line with intercepts on given points.…

Q: Determine the value of a for which the line through (2, - 3) and (5, a) is perpendicular to the line…

A: Given:  Two points (2, -3)  and  (5, a)To determine the…

Q: Find the point of intersection of the lines of equations x = - 2y = 3z and x = - 5 - t, y = - 1 + t,…

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Q: Prove that the equation of a line passing through (a, 0) and (0, b) (a + 0, b = 0) can be written in…

A: Given points:   (a, 0)  and  (0, b). To prove:  the equation of line passing through these points is…

Q: Rewrite the given linear equation into the standard form of the equation of the line. 2x + 7

A: Given  The linear equation is 45y=2x+7

Q: Find the linear equation that is the straight line through (5, 5) and parallel to the line 12x – 6y…

A: It is known that the slopes of two parallel lines are equal. Thus, the slope of the given line i.e.…

Q: What is the equation of the line containing the perpendicular bisector of AB? B(a,a) O A(0,0) The…

A: Given,  A line segment AB  with A0, 0  and  Ba, a  We have to find the equation of the perpendicular…

Q: Plot the points on the same three-dimensional coordinate system. (a) (0, 6, -9) (b) (6, 0, 9) 10 Z…

A: Given the co-ordinates of 3D plane

Q: Select all equations that are parallel to the line 2x + 5y = 8. A. y = x +4 B. y = -x +4 C. y- 2 =…

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Q: Find the equation of the line though the point (0, -3) and perpendicular to the line y = - 2. Write…

A: To solve the following problem

Q: Write the equation of the line t

A: Given, The line passes through (-8,6) And x-intercept is twice the y-intercept.

Q: Plot the given point in a rectangular coordinate : (3, -2)

A: we have to plot the given point in a rectangular coordinate : (3, -2)

Q: What is the slope of any line parallel to the line 8x + 9y = 3 in the standard (x, y) coordinate…

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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.