3. A line has r-intercept 5, and it is parallel to the line 2r+3y = 1. Find the y-intercept of the line. (A) 10/3 (B) –10/3 (C) –15/2 (D) 15/2 (E) –10 (F) None of the above

Q: 2. Find the equation of the line that passes through the points of intersection of the curves y“ = x…

A: We plug x=y2 in…

Q: 4) Find the equation of the straight line, L', passing through the point P(2,3, -1) and (a) parallel…

A: Given Line L : x-12=y+13=z-2 is parallel to direction vector l→=2i^+3j^+k^ Required line is passing…

Q: 7. : Find the point of intersection of the two lines L: 3x - 4y = 2 M: x +2y = 4 Graph the lines.

A: 7.The given lines,      L: 3x-4y=2     M: x+2y=4 Note:   In question 6, Dan receiving amount…

Q: Suppose there is a straight line from z1 0 to z2 = 2+ 4i . You know that the equation of a straight…

A:

Q: Find the shortest distance from the point x = (-3, 0, -12)  to the line r = t(0, -2, -2).

A:

Q: Find the line L, that passes through the point P(1,2) and parallel to the line L2: x+2y=3.

A: Given data is: The equation of the line L2: x+2y=3 To find the equation of the line L1 that passes…

Q: Find the coordinates of the intersection points A and B, between the closed curve (x + 1)² + 4(y-1)²…

A: In this question, we can find the intersection points of the given curve. Using the equation of…

Q: Suppose there is a straight line from z1 = 0 to z2 = 2+ 4i You know that the equation of a straight…

A:

Q: Find the intersection point of the line l.x=-1. y = - 3 + t z = 4 + 2t with xx - 1 .

A: In xz plane value of y = 0.

Q: 4. What is the equation of a line parallel to the diameter of circle A, with a center at (-5,7) and…

A: Given query is to find the line which parallel to the given line.

Q: 6.) Find the equation of the line perpendicular to 2y – 8x = 24 which also passes through the point…

A: Concept : The product of the slope of the two perpendicular line is -1 Given, the equation of the…

Q: nded by the curve y2=4x and the lines x = 1 and x = 4.

A:

Q: The slope of the line tangent to the graph of 3x +5In y 12 at (2, 1) is 12 (A) 12 (B) 5. (C) 12 4.

A: Given that 3x2+5lny=12To find : Slope of the tangent line at point 2,1Solution :

Q: - For what value of k will the line kx + 5y = 2k be perpendicular to the line 2x - 3-y = 1?

A:

Q: 4- Find the line that passes through the point l2) the Point of intersection of the lines x+2y=3 and…

A: 4.  The equation of the line passing through a point x1,y1=1,2 and the point of intersection of the…

Q: 1. What is the equation of the line which passes through the points (1, 1) and (2, 2)? B. 2x-y = 0…

A:

Q: Suppose there is a straight line from z1 = 0 to z2 = 2 + 4i You know that the equation of a straight…

A:

Q: 1. Find the equation of the line passing through the point perpendicular to the line 5x + 3y = 5. 3…

A: Given equation of the line5x+3y=53y=-5x+5y=-53x+53 which is theform of y=mx+b whereslope of the line…

Q: 9) Find the equation of the straight line passing through the point of intersection of the two lines…

A:

Q: Suppose there is a straight line from z1 = 0 to z2 = 2+4i You know that the equation of a straight…

A:

Q: What is an equation of the line that passes through the point (–6, –6) and is paralle to the line x…

A:

Q: Find the shortest distance between the skewed lines. l1: = 1+ 2t, y = -1+t, z = 2+ 4t and l2: x= -2+…

A:

Q: Find an equation of the tange line to the graph of the equation at the given point. y =2x2+4x;…

A: We have to find

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: roblem 4.1 Find the point on the line y = 2x + 3 that is closest to the origin.

A:

Q: 2. Find the equation of a line which has a y-intercept equal to -2 and is also perpendicu to the…

A: Given data is: y-intercept of required line  c=-2 To find the equation of the line which is…

Q: Find an equation of a line in standard for that has a y intercept of 2 and is parallel to the line…

A:

Q: 2. Find the line L passes through the point (-2,2) a L:2x+y=4.

A:

Q: Show that the equation of the line in R² can be written as х det 1 X1 У1 X2 У2.

A:

Q: Determine whether there exists a constant c such that the line ex - 2y = 4:  (a) Has slope 4…

A: a) We write the line in the y=mx+b form first  Given that slope=c/2=4  So, c=8  Answer(a): Yes, c=8…

Q: The coordinates of a point on the line x+ y+1 = 0 which is at a distance /2 units from the line 3x +…

A: Given: The line x+y+1=0 which is at a distance 2 units from the line 3x+4y-2=0 To find: Coordinates…

Q: Suppose there is a straight line from z1 = 0 to z2 = 2+4i You know that the equation of a straight…

A: Given, Z1= 0 Z2= 2+4i We have to find the slope(m) of the straight line joining Z1 and Z2

Q: 12. For the two non-parallel straight lines L:2x- 5y+ 21 = 0 and L: 3x+y+6 = 0, find the coordinates…

A: Consider the following: Line-1:  2x−5y+21=0Line-2:     3x+y+6=0 At intersection point: L1=L2…

Q: Q2) find the distance between two lines L1: x= 1 +4t, y=5 - 4t, z=-1+5t L2: x=2 + 8t, y=4 - 3t, z-5…

A: Method 1:

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: So Find x²z ds, where C' is the line segment from C (0,-5,4) to (-6,-4,3)

A:

Q: 3. What is the slope of the line that is perpendicular to 3 - x + 4y =0.

A: Equation of line is given

Q: 27 The x-intercept of the line x=6y +9 is (9,0) صواب ه خطأ

A:

Q: 8. Find a line uniquely parallel to the line 3x-4y+12=0.

A:

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

A:

Q: nd the equation of the line perpendicular to y = 3x + 4 with an x-intercept numerically equal to its…

A: Given Equation of line y= 3x+4

Q: 3. Express y =-x+7 in the form Ax + By = C. В. Зх -4y %3D 7 A. 3x– 4y = -7 C. 3x + 4y = -7 D. 3x+4y…

A: Given:Slope-intercept form:y=mx+c

Q: For what values of a and b is the line 4x+y=b4x+y=b tangent to the curve y=ax3y=ax3 when x=5x=5? a=…

A:

Q: 45. Parallel to -3x + 4y = 12, passing through (-4, – 6)

A: The line is parallel to -3x+4y=12, passing through -4,-6

Q: Find the point on the line x + 2y = 5 that is closest to the origin.

A: Let the point (x, y) on the given line x+2y=5  is closest to the origin (0, 0). observe that…

Q: 19. Find the point on the line y= 2x + 3 that is closest to the origin.

A:

Q: Q1/The line joining origin and point of inter section of the lines (x = 1 + 2t, y = -3 + 4t, z %3D =…

A:

Q: 16. If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4. Find the…

A:

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

A: