19. Determine the slope and the y-intercept of the line 63 = -9y. O A. Slope: 1; y-intercept: (0, –7) B. Slope: undefined; y-intercept: (-7, 0) C. Slope: 0; y-intercept: (-7, 0) D. Slope: 0; y-intercept: (0, –7)

Q: 7. Write a slope-intercept equation for a line parallel to the line x – 6y = 12 which passes through…

A:

Q: 4) Which line is parallel to 5x + 3y--10? A) 5x - 10y 6 B) 10x -6y 1 C) 3x-5p-3 3. D) -x+ y=7 5. E)…

A:

Q: Find the equation of the line that contains the points P 1(-4, -4) and P 2(2, -6). 1 A. y =--x-4 3…

A:

Q: Find the slope of the line 1. that is parallel to 2x + y = 7 2. that is perpendicular to 3x + 4y =…

A: Recall: Two lines are parallel if and only if their slopes are equal. i.e, m1=m2 ( m1and m2 are…

Q: Which line passes through the point (4, -7) and is perpendicular to the line x- 4y = 8? A. y = x-11…

A:

Q: Which is the equation of a line that has a slooe of 4 and passes through point (1, 6)? O y- 4x - 2…

A: Given Line passing through 1,6 slopem=4

Q: 4. Mark the y-intercept, then draw a line with the given y-intercept and slope. a) b) c) -2-10 1 2 3…

A:

Q: What is the relationship between the lines L1 and L2 where L1:x = 1 + 7t , y = 3+t, z = 5 – 3t L2:x…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In the equation of the line                      ⟨x, y, z⟩ = ⟨x0, y0, z0⟩ + t⟨x1 - x0, y1 - y0, z1 -…

A: The given equation for the line is,

Q: 17, Given the line 5x-8y = 20, find the slope of a line parallel to it c) 1 a) b) d)

A: Result used:The slope of a line of the form ax + by =c is m = - a/b, where a, b and c are constants…

Q: How would you help a friend determine the equation of the line that is perpendicular to x - 5y = 7…

A: Suppose, y=mx+c is a line whose slope is m. Then, the equation of its perpendicular line is given…

Q: Find the equation of the line perpendicular to y = 9 through the point (4, – 8)

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Q: Find the equation of the line containing the point (5, 1) and perpendicular to the line y=-4x+2. 1 O…

A:

Q: What are the axis intercepts of the line described by P = (5 + 3t,-2 + 4t)? Recall, to find an…

A: Given,         The line is decribed by Pt=5+3t , -2+4t .

Q: Give the slope and the yy intercept of the line  −6x−8y= −1

A:

Q: 4 Graph the line with slope and y-intercept -1. 3 --

A: The equation of a straight line is :                y = mx + b        where,   m is the slope…

Q: What is the relationship between the lines L1 and L2? where L:x = 1- 2t, y = 3+ 3t, z = 5+3t L2:x =…

A:

Q: 7. Find the point of intersection of the lines y = 2x – 7 and y = 3 – 3x.

A:

Q: Given a line with slope of 5 and y-intercept of -1, which order pairs given below would NOT be on…

A:

Q: III. What is the image of the line with equation Y = 5X +7 under op, where P = (-3,2).

A: Given y=5x+7

Q: Find the distance between two parallel lines y = 2/3x +7 and -2x+3y=12

A:

Q: Find the line L passes through the point (-2.2) and perpendicular to the line L': 2r+y 4.

A: Given : The line L passes through the point -2,2

Q: 2. Calculate the slope of the line using two different pairs of points. 3- -8 -7 -6 -5 -4 -3 -1 1. 3…

A: If the line passes through the point A(x1,y1)and B(x2,y2)  so the slope of the given line is m = (y2…

Q: 1. Calculate the slope of the line using two different pairs of points. (x.y) 41 30 20 30 40 20-

A: The line passes through the points 0,20 and 20,0

Q: Find the y-intercept of the line through two points (1, 8) and (2, 4).

A:

Q: Q/ What is the relationship between the two lines L2 3 L1 ) where L1:x = 1+ 4t , y = 3 – t, z = 1+t…

A: The given lines are                              L1 : x=1+4t,  y=3-t,  z=1+tL2 : x=-3t,    y=1-t,…

Q: Find the point of intersection of the lines x + 2y = 8 and 3x — y = 3

A: You use one equation to express one of the variables in terms of the other. Then you substitute that…

Q: Find an equation for the line perpendicular to the line 8x−6y=−28x−6y=−2 having the same y-intercept…

A: Given equation of line 8x-6y=-2 .....(1) Another equation of line is -6x+2y=4 .....(2) Now we will…

Q: Which of the following best describes the graph of the following linear equation? +5=10 O Vertical…

A: giiven equation x5+5=10

Q: What is the relationship between the lines L1 and L2? where L1:x = 1-t, y = 1+ 2t, z = 2-t L2:x =…

A: The given lines are:L1: x=1-t ; y=1+2t ; z=2-tL2: x=1+t ; y=1-t ; z=2-3t

Q: Give the slope and y-intercept of the line whose equation is Ax + By = C . Assume that B ≠ 0.

A: Give the slope and y-intercept of the line whose equation is Ax + By = C . Assume that B ≠ 0.

Q: What is the equation of a line (in slope-intercept form) with a slope of -11 and a y-intercept of…

A:

Q: 5. Write the equation of a line through (c, -b) with slope of -p. a) y – b = p(x – c) b) y + b =…

A:

Q: Is the line y = −4x + 4/5 parallel to the line y = 4x + 5 ?

A: We compare y = −4x + 4/5 with y=mx+bSo, m= -4

Q: 8+ (1,2) -8 y= 2x -8-

A:

Q: Find the point on the line y = 5x + 4 that is closest to the origin. (х, у) %3

A:

Q: Show that the points A = (2, 5), B = (6, 1), and C = (8, - 1) lie on a line by using slopes.

A: The slope of a line is determined using any two distinct points on the line. The slope is calculated…

Q: What value of n in the equation nx+7= 4y would give a line with slope 2

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Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) -

A:

Q: What is the relationship between the lines L1 and L2? where L:x =1+4t, y = 3-t, z = 1+t L2:x = -3t ,…

A:

Q: 12. Write the equation of a horizontal line through the point (2,4) O b) y=2 O a) x=2 O d) y=4 O c)…

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Q: 9) Find the point on the line y = 3x - 4 that is closest to (2, 1).

A:

Q: Find the equation of the line perpendicular to the line x - 7y + 5 = 0 and having x- in

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Q: 2. What is the equation of the line with a slope of 6 and passes through (-2, -4) O y = 6z – 20 O y…

A:

Q: What is the midpoint of the line segment with the equation y = +3 between x =-4 and r = 8? O (6,6) O…

A: y=12x+3 When x=-4, y=12-4+3=1 When x=8, y=128+3=7 Therefore the line segment passes through the…

Q: nd the point of intersection of the lines: = 4x + 1 and y = -2x + 4 1,2) 1,2) 2,9) ,3)

A: All points of intersection satisfy both curve(lines) .  Hence , for point of intersection  We equate…

Q: 10. Find the intercepts of the line given by 3x-2y -.

A:

Q: 3- Find the slope and y-intercept of the line 8x + 5y = 25

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.