Q2: Determine whether the graphs of each pair of equations are parallel, perpendicular or neither. 1. y 3x +4 2. y=-4x+ 1 y = 3x + 7 4y x+3

Q: Find the intersection point of the lines y = 3x — 4 and 5x — 2y = 7

A: To Determine: find the intersection point of the lines. Given: we have lines y=3x-4 and 5x-2y=7…

Q: Match the equation with its graph. 4x2 - y2 + 4z = 0 %3D -3r 3 31 21 -3 -5 56 242 4 32

A:

Q: Which of the following best describes the graph of the following linear equation? -10 O Horizontal…

A: Here we solve the given problem.

Q: Solve for the value of x and y; y=3x-4 4x+3y=1 Draw the line graphs that represent both equations…

A:

Q: Show your solution. Determine (in ordered pair) the point of intersection of the lines 2x − 5y = 10…

A: Given lines, 2x-5y =10   .....(1) 3x+2y=6     .....(2)

Q: List the intercepts and test for symmetry: (x + 12) 2 + y2 = 16

A: Given that, x+122+y2=16

Q: Which of the following points can be a solution in graphing X +ys6? A (7,10) B (10,10) (10,7) D…

A: Here we want to find The points which are solution for given equation.

Q: The path of a foot ball can be modelled by the equation h = -0.0625d(d – 56), where h represents the…

A: Topic = Quadratic equations

Q: • Determine and draw the graph of the following equation in R3 : x2 + 212 + 2 8x + 12y – 2z + 35 = 0…

A: This is a problem of multi variable calculus, 3D geometry.

Q: What happens to the shape of the graph of x2/a2 + y2/b2 = 1 as c/a ⇒ 0, where c2 = a2 - b2?

A:

Q: Determine whether the graph of the two equations are perpendicular.  x+2y=5 2x+4y=7

A: Given equation of lines arex + 2y = 5  — 1and 2x + 4y = 7 — 2We can write 1 and 2 asy = -12 x + 52 —…

Q: The midpoint of the line segment between P1 (x,y) and P2 (-2,4) is Pm (2,-1). Find the coordinate of…

A: We have to find

Q: Q6-Sketch the graph of the given equation- 25(x-3)+10(y+2) =100 (acb)

A: Topic = Ellipse

Q: Solve for the value of x and y; x=3y+1 2x+4y=12 Draw the line graphs that represent both equations…

A:

Q: Which graph represents the solution of y Sx+3 and y 2-2r- 2?

A: Given,            y ≤ x + 3  and  y≥ -2x - 2

Q: Graph without calculating the solutions/values y" + y' + 4y = &1(t), y(0) = 3, y'(0) = 0.

A:

Q: Q1/A Find the equation of line perpendicular to x - 4y - 7 = 0 and passes through the point (3,-4).

A: Solution is given below:

Q: Find an equation for the line that passes through the points of intersection of the graphs of y = x²…

A: we have given equations of graphs y=x2+2x and y=-x2 At first we will find the point of intersection…

Q: Select the equation that represents the graph abov A y = Vx + 4 - 2 B y = Vx - 4

A:

Q: (b) Find the number of points of intersection of the graph of y = = -x + 6x -(a + 9) and the x-axis.

A: It is given that the equation of the parabola is y=-x2+6x+a-9. We have to find the number of points…

Q: How to find the intersection points of y=(x+1)1/2 and y=x2.

A: The given functions are y=x+112   and   y=x2. In order to get the intersection points, first sketch…

Q: . List the intercepts and test for symmetry:(x + 12)2 + y2 = 16

A: List the intercepts and test for symmetry:(x + 12)2 + y2 = 16

Q: Find the points of Intersection of the graphs of the equations. x² + y = 16 -4x + y = 11 (x, y) =…

A: Here we have to find the intersecting points.

Q: Match the equation with its graph. 4x2 - y2 + 4z = 0 y N +++ N

A:

Q: Use a graph to solve the simultaneous equations y =2r² – x – 2 and y = 2x . (0,0)

A:

Q: Which graph best represents the solution set of y s-4x?

A:

Q: the graph of y = b², where b > 0, b = 1 and x € R?

A: To explain: The graph of y=bx, where b>0, b≠1 and x∈R. Explanation: The graph of y=bx, where…

Q: Graph the solution set.(give points) 2x + y  ≥  −2 6x + 3y  ≤  6

A: We consider auxillary equations of the inequalities.2x + y = −2 and 6x + 3y = 6

Q: Which graph best representsthe solution se of y -4x? A

A:

Q: 2. Sketch and identify the graph of the following equations in R³ (a) 922 + 4y? = 36 y? (b) 2² – x²…

A: We have to sketch the graph of the given equations. Then, we have to identify the type of the graph…

Q: Find the points of intersection of the graphs of the equations.                        5x + 3y = −1…

A: The given equations are, 5x+3y=-1              ...... 1x-y=-5                  ...... 2 Multiply…

Q: Find the point of intersection of the graph of the equations. x2+y2=1 -x+y=1

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: Which equation is best to use to determine the zeros of the graph of y = 4z² – 8z – 5? - O (2r +…

A: Simply factories the given expression and equate to zero.

Q: Find the points of intersection of the graphs of the equations. x2 + y = 17 -2x + y = 14 (x, y)…

A: Given  x2 + y = 17     (i) -2x + y  = 14 ⇒ y = 14+2x       (ii) Putting the value of y in equation…

Q: UI TO The x-coordinate of the point of intersection of the graphs of -5x+y=-31 and 4x+y=5_is x=

A:

Q: Match the equation with its graph. x2 y2 z2 + = 1 9 9 16 4 -5

A:

Q: Graph the solution set: y≥r²-2 y > x y ≤ 4 -5 -4 NF -3 -2 -1 +< 4 - NW 1 -16 -2 -3 4 1 2 3 4 5

A: Given the query is graph the inequality.

Q: Which line below has a lower y-intercept than the line y = 2x - 1? O y-3 = -(x- 4) O y+3 = 1(x + 4)…

A:

Q: Q3: Find the intercepts of the equations. • x = 1- y? 4x2 + 4y2 = 1 • y = V(x + 4)

A: Here given equation put x=0 to find y-intercepts put y=0 to find x-intercepts

Q: Find the equation of perpendicular bisector of the line passing through points (2,-5) to the point…

A: perpendicular bisector passes through mid point of the points and has perpendicular slope to the…

Q: the x intercept of the equation y=x^2-9x+20 are m and n where m>n. what is the value of m

A: Given equation is y=x2-9x+20To find x intercept we must equate for y=0Therefore,y= x2-9x+20

Q: Find the points of intersection of the graphs of the equations                             x2 + y =…

A: Given equations are By subtracting second equation from first equation, we get

Q: Determine the y-intercept of the following equation. (-x – 4)(x + 5) = y (0, –20) (0, –4) and (0,…

A:

Q: What is the equation perpendicular to the line 4y =6x + 8

A: Consider the provided equation, 4y=6x+8 What is the equation perpendicular to the line. We know the…

Q: x² + y? + z² + 8a + 4y – 6z – 7 = 0

A:

Q: 3. Give the general form of the equation of the line whose x-intercept is 6 and whose y-intercept is…

A: It is given that x- intercept is 6, that is the point is 6,0 and y- intercept is 4, that is the…

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.