The line y = kr + 4, where k is a constant, is graphed in the xy-plane. If the line contains the point (c, d), where c+0 and d +0, what is the slope of the line in terms of Cand d?

Q: Find the equation of the line with the given description. Parallel to y = 3x − 4, passes through (1,…

A: Slope of the line y=3x-4 is 3 A line parallel to it will also have slope= 3 So, slope=m=3 and passes…

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: If j 1k and line j has slope , then k has slope

A: Given:j⊥k Slope of j =23Slope of k=?Perpendicular slope:m1×m2 =-1

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 an equation of the line that satisfies the given conditions. Through  (1, −1);   parallel to…

A:

Q: Find the slope and concavity of the curves at the given points. r = θ, θ = 0, π/2

A: Consider the formula for the derivative for polar curve. The slope is equal to the derivative at…

Q: Consider the line y = ax , where a is a positive constant. What should be the x- coordinate of the…

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: Find an equation of the line that satisfies the given conditions. Throught (2,6); perpendicular to…

A: y=1;(2,6)

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

A:

Q: Consider the line y = ax , where a is a positive constant. What should be the x- coordinate of the…

A:

Q: The point (a,b) and (c,d) are points on the graph of y= x3+5 whose tangent lines are perpendicular…

A: y=x3+5slope at a,b =2x2=2a2     ...(1)slope at c,d =2x2=2c2     ...(2)slope of given line = -13…

Q: The line in R that is parallel to the y-axis and passes through the point (1, 2, 3) has equation + t…

A:

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: Find an equation of the line that satisfies the given conditions. Through (4, 6);  perpendicular to…

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: Use the given condition to write an equation for the line in slope-intercept form. Passing through…

A: It is given that the line passes through (5,4) and is perpendicular to the line

Q: Find the stope intercept equation of a line that has y hntercept of 4 and is parallel to the line 5x…

A: Given query is to find the equation of the indicated line.

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

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: Find the livus of points that are equidistant to the point F(0,2) and the line y=-2

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: Find an equation of the curve that passes through the point and has the given slope. 4y (32, 6), y'…

A: Here is the solution of the given problem.

Q: The line y=-Lx+8 has perpendicular whrich is fangent to the graph of Find the value of ke y = (x²2)…

A: Explanation of the answer is as follows

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

A:

Q: 6. Use the given conditions to write an equation for the line in point-slope form. Slope = -1,…

A:

Q: At what points on the curve x=3t^2 + 1, y=t^3 -1 does the ranger line have a slope 1/2?

A: The slope of the tangent line is given by, dydx=dydtdxdt=ddt3t2+1ddtt3-1=6t3t2=2t Given that the…

Q: Find the slope intercept form of the line satisfying the given conditions. parallel to 4x+16y=23.…

A: The line parallel to the given line 4x+16y=23 should have the same slope as the given line.

Q: ) Find an equation of a line that is perpendicular to both u = and v m and contains the point (2,3,…

A:

Q: Given that the liney=mx+b has a slope of 3 and passes through (-7, 3). Find b, the y-value of the…

A:

Q: Find the value of h,if the slopes of the lines representedby 6x +2hxy +y = 0 arein theratio1:2.

A: As we know that, the equation for the pair of straight-line passing through origin is: y-m1xy-m2x=0…

Q: The slope of the line defined by y – 2 x = 5 is O A. 1/4 О в. -1/2 O C. -2 O D. 2

A:

Q: Find an equation for the line with the given properties. Parallel to the line 3x + 2y = 17;…

A:

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: Determine the value of A so that the line whose equation is Ax + y = 2 is perpendicular to the line…

A: We are given 2 lines: The first (l1) has the equation Ax+y=2 The second l2 passes through the points…

Q: Use slopes to verify that the graphs of the equations Ax + By = C and Bx - Ay = D are perpendicular.…

A:

Q: If f(x) = 23x + 25, find the slope of the secant line between the values of %3D 10 and 12 = - 6.

A: We are given a function f(x)=23x+25 we need to find out the slope of given line between x1=-10 and…

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

A:

Q: For what values of c is there a straight line that intersects the curve y = x' + cx' + 12x² – 5x + 2…

A: Given the equation of a curve , y=x4+cx3+12x2-5x+2. To find the value of c such that there is a…

Q: Find the slope of the curve at the given point. 7y^7+5x^9=2y+10x (1,1)

A: Slope = dy/dx

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: 4) Find the point in which the line through the origin perpendicular to the plan 2x - y -z = 4 meets…

A:

Q: Find the equation of the line that satisfies the given conditions below. Through (4,5); parallel to…

A: Given :- points (x,y)=(4,5) To find :- equation of line parallel to y-axis…

Q: Show that the equation of the line in R' through distinct points (1, Y1) and (x2, Y2) can be written…

A: We have to show that the equation of the line in R2 through distinct points x1,y1 and x2,y2 can be…

Q: If ax +2hxy+by 0 represents two straight lines such that the slope of one %3D line is twice the…

A: We have to prove that

Q: parallel to the line 2x+3y+4=0

A: Equation of line passing through point and with slope m . (y-y1)=m(x-x1)  if two lines are parallel…

Q: What is the slope of the line in the xy-plane that passes through the points and A) -1 B) 3 C) 1 3…

A: