The slope of the line that is parallel to 7x – y – 1 = 6 is m = Find the y-intercept of the line parallel to 7x – y – 1 = 6 that passes through the point (0, – 3). Give your answer as an ordered pair.

Q: B. Find the point on the line y = 3x that is closest to the point (50, 0).

A:

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

A:

Q: The curve r(t) (2t, 3 - 1,0) is a line that passes through the origin.

A: We are given a curve r(t) = < 2t, 3-t ,0 > which is a line. To find : If the line 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 an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: H

Q: For what values of a and b is the line 5x + y = b tangent to the parabola y = ax? when x = 4?

A: y=ax2y'=2axy'(4)=2a(4)y'(4)=8a Now we have 5x+y=b ⇒y=-5x+b Compare with the equation y=mx+b From…

Q: Find the general equation Ax + By = C for the line with slope m = y intercept - 2. - and %3D

A: Given: The slope of the line is -23. The y-intercept is -2.  Formula used: Slope intercept form. The…

Q: Q2): Find the equation of the line passes through p(2,-4,5), normal to 971. x+8 = 2t, y-5= 3t, 1 -z…

A: Given problem:- Find the equation of the line passes through p(2,-4,5), normal to x + 8 = 2t, y - 5…

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 y-intercept of the line by substituting 0 in for y and solving for y x+2y=4

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 general equation Ax + By = C for the line with slope m y-intercept - 2. and

A: Given:General equation Ax+By=Cslope m=-23y-intercept  -2Equation:y=mx+b

Q: substituting 0 in for y and solving for y 4x+6y=-48

A:

Q: 3. Find the equation/s of the TL to 9x² +16y² = 52 which is parallel to the line 9x-8y = 1.

A:

Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: Find the equation for the set of points in an xy-plane that are equidistant from the point P -6,3…

Q: The slope of a curve at (1, 9) is 6. Determine the equation of the curve when y" = 2. O z + 6z +5…

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: 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: 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: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 5? a = b…

A: Given: The line 4x+y=b is tangent to the parabola y=ax2 when x=5. To Find: Value of a and b.…

Q: Find the slope of the curve x + y - 10y -3x +5 = 0 3-2x 2у-10 2x+3 10-2y 2x-3 10+2y 3+2x 2y+10 O…

A: We have to find slope

Q: For what values of a and b is the line 2x +y= b tangent to the curve y = ax' when x = -5? a = b =…

A:

Q: Q6) Find the distance from the point S= (1, 2, 1) to the line x = 2 -t, y=-1 + 2t, and z= 2 + 2t.

A:

Q: The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2). Find th…

A:

Q: Find the x-intercept of the line by substituting 0 in for y and solving for x 2x+2y=4

A: We have to find the x intercept

Q: Find an equation of the line perpendicular to the line y = -7x + 7 31 passing through the point (12,…

A:

Q: Find the x-intercept of the line by substituting 0 in for y and solving for x Y=2x+

A:

Q: The line y = kr + 4, where k is a constant, is graphed in the xy-plane. If the line contains the…

A: Given line is: y = kx + 4 ................... (1) The line contains the point (c, d). Then (c, d)…

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: to Find the mid Point. M.of the line Segment Joiningthe points. S:(-8,2)) and'f =(0i6)

A: Basic algebra problem

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: Find equations for the followingineF - The line through y and parallel to Z-axis

A: To find the equation of the line that passes through 1, 1, 1 and parallel to the z‐axis.

Q: Find an equation of the line L.L is perpendicular to y=3x.

A: y=3xWe compare it with y=mx+bSo, m=3

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

A:

Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: Equidistant points mean that the distance of two points represented by P1 and P2 is equal to the…

Q: Find the y-intercept of the line by substituting 0 in for x and solving for y -4x-2y=4

A:

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 4?

A: Consider the equation of the parabola, y=ax2 differentiate the equation with respect to x to find…

Q: Find an equation of the line L. L is perpendicular to y = 2x.

A: In general, the equation of line is y=mx+c where, m=slope, c=y-intercept Given, y=2x  m=2

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: B. Find the point on the line y = 10 – 2x that is closest to the origin. REFLECTION

A:

Q: Find an equation of the line that satisfies the given conditions. y intercept 6; parallel to the…

A: y-intercept of the line is 6 and is parallel to the line 2x+3y+4=0. Now the slope of the line…

Q: Determine the equation of the curve which is perpendicular to the line joining any point on the…

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.