For #13-15, find the components of AB and the coordinates of point P. 13. A = (7, -2), B = (2, 8), and P is of the way from A to B.

Q: Consider the following equations. 2−(2y+3x)=6(x−y)and 4y+5=8+9x Step 2 of 3: Express the second…

A: 4y+5=8+9x

Q: Find the point on the line 2x + 6y + 5 = 0 which is closest to the point (2, 0).

A: Let, (h,k) be the point on the  2x+6y+5=0. That is,

Q: Find the point on the line – 6x + 2y +1= 0 which is closest to the point (1, – 3).

A:

Q: Consider the following equations. 4y+ &r = x+ 2 and 4x-3y 8x + 5 Step 1 of 3: Express the first…

A:

Q: Find an equation for the line which passes through the origin and is perpendicular to  2x + 3y = -2

A:

Q: Consider the following equations. y+6x/3=x+4 and  2x−3y=3x+13 Step 1 of 3: Express the first…

A: Given: The equation y+6x3=x+4               ...i2x-3y=3x+13          ...ii To solve: The first…

Q: -(2) Find the equation for the set of all points whose distance from (-3,2,-1) is 4

A: our objective is to find the equation.

Q: 2. For the following pair of equations, determine if they represent the same, parallel, or different…

A: The equation of the first line L1 is r=1, 0, 3+s3, -6, 3 and the second line L2 is r=2, -2, 5+t2,…

Q: For 3-5, identify the siope and the y-intercept of the equation. 2r + v = 7 5. y = -8

A: 5. The equation of the line is given by y = -8                                             ........1…

Q: Let yy be a Jane's salary (in thousands of dollars) after she has worked xx years at a company.…

A: *to find:- salary increment per year.

Q: Which of the following tables matches the equation shown below: y = 3 -2 -1 1/9 1/3 1 9. -2 -1 1. 2.…

A: Use substitution method to find the value of y by substituting different values of x. Then make a…

Q: Write the equation of y = bx, b>0 after going through transformations; reflection in x-axis,…

A:

Q: The equation of the line in the form ax+ by = c, with y-intercept 9 and perpendicular tow +3y = 13…

A: 3x-y=-9

Q: Find the following equations Given that m-4, with the points (4,5). Find the equation of the line.

A: Soove for the equation of line

Q: Find an equation for the line perpendicular to 3x+6y=18 and goes through the point (3,−4) Write your…

A:

Q: Find an equation for the line perpendicular to 2x+6y=24 and goes through the point (8,10) Write your…

A: given line   2x+6y=24   slope of line perpendicular to given line

Q: Find the equation of the line shown below. Your answer should take the form x = a or y = a,…

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Q: Find the point on the line 6x + 2y –1 = 0 which is closest to the point (-7, –7).

A:

Q: The x-coordinate of a point P is twice it's y- coordinate .If P is equidistant from Q(2,-5) and R…

A:

Q: Create the equation of a line that is perpendicular to 3x + 2y = 10 and passes through (-4, 3). For…

A: We have the equation of line 3x+2y=10. Now,           3x+2y=10⇒2y=10-3x⇒y=10-3x2⇒y=5-32x Slope =…

Q: Find an equation for the line with the given properties.  Parallel to the line 2x+9y=24; containing…

A: A line parallel to the line 2x+9y=24 will have same slope as this line Write 2x+9y=24 into y=mx+b…

Q: Which of the following points is not correct if the figure below is reflected over the a-axis? up B…

A:

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: 2. Reduce the following equation to the form indicated a) 5x – 6y – 13 = 0 ; slope-intercept form b)…

A:

Q: Write an equation for the line that passes through the point (7, - 4) and is perpendicular to 3x -…

A:

Q: Find the equation of the line perpendicular to the line 3x + 4y +6 = 0 and making the intercept -4…

A:

Q: Find the equation of a line perpendicular to x+5y=−2 that contains the point (3,0)

A:

Q: Q2. Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line…

A: Given point is (-3,2,-1). And the planes are,

Q: Find the point on the line 4x+4y+5=0 which is closest to the point (4,3)

A: Given,A line 4x + 4y + 5 = 0 and a point (4,3).The equation of the line can be written as,

Q: The equation of line f is y = -3/4x +8. The equation of line g is y = -4/3x +9 . Are line f and line…

A:

Q: Find the equation of the horizontal line at a height of -3.9. O the height must be an integer O y =…

A: We can find the equation of line as below

Q: y = mx + b is the _____ form of the equation of a line. y – y1 = m(x – x1) is the _____ form of the…

A: y = mx + b is the _____ form of the equation of a line. y – y1 = m(x – x1) is the _____…

Q: Find an equation for the line parallel to 3y+15x=27  and goes through the point (−10,−1) Write your…

A: To find equation for the line parallel to 3y+15x=27, we will need to find the slope of the line.We…

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 point on the line 5x + 2y + 7 = 0 which is closest to the point (1, –2)

A:

Q: Write the equation of a line that is perpendicular to y = I+9 and that passes through the point (4,…

A:

Q: Find an equation for the line parallel to 3y+15x=27 and goes through the point (7,2). Write your…

A:

Q: Create the equation of aline that is perpendicular to 2y = 14 + and passes through the point (-2,…

A:

Q: Find the point on the line – 5x + 3y – 5 = 0 which is closest to the point (4, – 2).

A:

Q: 3 Given f(x) = x³ −5, find the equation of the secant line passing through (-3,ƒ(-3)) and (3, f(3)).…

A:

Q: The equation of the line that goes through the point (8,1) and is parallel to the line 4x+4y=3

A:

Q: Find the equation of the line through the points G,1) and (0, 1). Write your answer in the form y =…

A: The points are given as 37,1 and 0,1 . Equation of line = ? We know that , If the points are Ax1,y1…

Q: Consider the following equations. 2−(2y+3x)=6(x−y)and 4y+5=8+9x Step 1 of 3: Express the first…

A:

Q: Find the equation of the line perpendicular to -x - 4y = 6 and passes through the point whose…

A:

Q: Find the points on the line 3x-4y-1=0 which are at a distance of 5 units frim the point (3,2)

A: The equation of line is  3x-4y-1=0. The distance of point (3, 2) from the pointy on line is 5 unit.…

Q: Find the equation of the line passing through the points whose coordinates are R(2, -1) and P,(7,…

A:

Q: Find the equation of the curve for which -6-9x and which passes through the points (0,-1) and (2,…

A:

Q: Which of the following is the y-coordinate for the point that lies on the line y=-3/4x+1 and has an…

A: substitute the  value of x .

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.