2. State the slope and y-intercept for each. a) y = 2-4x b) -6x + 2y -7= 0 c) 2(4y-3)= 9x

Q: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

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

A:

Q: 2. Find the equation of the line (a). Through (1,3) with m = -2; (b). x-intercept -2, y-intercept 4;…

A: we know that equation of line is :  y - y1 = m ( x - x1 )

Q: Slope of the line ar equation: 2x+4y=7 is:

A: The given equation is 2x+4y=7.

Q: Which of the following lines is perpendicular to the line   y  =  1/2x + 1   and contains the…

A: Consider the given line y=12x+1                                … 1

Q: WHAT IS THE EQUATION OF A TAMILY Of A STRAIGT LINES WITH X Y INTERCEPIC

A: We can find the equation of family of a straight lines with x and y intercepts as below

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

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

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Q: At what point do lines 2x+3y=16 and 3x+5y=26 intersect?

A: graph both the lines using table methodFirst equation is 2x+3y=16. Solve the equation for y and…

Q: Find the distance from the point to the given line x 1+t, y= 3-2 2t, z=4- 3t and point (4,1,-2)

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: 4. Find the equation of the line perpendicular to the line 3y = 2 – 4xand passing through the point…

A: The slope of perpendicular line is given by, -dx/dy

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

A:

Q: If a line intersects the x-axis at 'r' and the y-axis at '1/r', at what point (x,y) does it…

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Q: Give the equation of the line passing through the point (– 3, – 9) that is parallel to y =

A: We will find the equation of the line.

Q: The equation of the line is of the form y=mx. what is the value of m ?

A:

Q: The distance of the line 7x + y –5 = 0 from the origin is?

A:

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

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Q: In the form y a) contains the points (0, 4) and (2, 6). b) contains (0, - 3) and is parallel to the…

A: Given, equation of a line is of the form y=mx+b

Q: Consider the line 3x – 2y = 7. What are the coordinates of the y-intercept for this line?

A: Consider the given equation of the line. 3x - 2y =7 At y intercept, x coordinate is zero.

Q: The distance from the point (2,1) to the line  4x-3y+5=0 is

A:

Q: Find | xz ds, where C is the line segment from (0,0,-6) to (-5,5,-7)

A:

Q: Find the distance from the point to the given line x =1+t, y= 3-2 2t, z=4- 3t and point (4,1,-2)

A: To find  The distance from the point to the given line.

Q: What value of K will make the lines 2x + 3y -2= 0 and -6x + Ky= 3 perpendicular? Parallel?

A:

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

A: The equation of a line parallel to y axis is x = k where k is constant           …..(1) It is given…

Q: Find an equation of the line perpendicular to 3x - 2y = 7that contains the point 11, 52.

A:

Q: 1. Which of the following lines is parallel to y = 4x 2?

A:

Q: What is the coordinates of the point on the line y = 2x +1 which is closest to the point (2, 1)?

A: The point on the line y=2x+1 which is closest to point (2, 1) is the point through which a line…

Q: Find the value of x for which line a is parallel to line b.

A: It is given that,  line a and b are parallel lines,

Q: Show that the line with intercepts (a, 0) and (0, b) has the following equation. x/a + y/b = 1, a ≠…

A: The two points are given as , a,0 and 0,b. To find the line with intercepts on given points.…

Q: The equation Ax + By + C = 0, where A and B are not both zero, is called the_______ form of the…

A: The equation Ax + By + C = 0, where A and B are not both zero, is called the_______ form of the…

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: At what points will the line y=x intersect the unit circle x2  + y2 =1?

A:

Q: What can you conclude if you know that the point (p, q) lies on the line y = mx + b?

A: We have to conclude if the point p, q lies on the line y=mx+b. We know that if any point is lying on…

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

A:

Q: find point b (x,y) given that M (7,3) is the midpoint of line A(10,4) and b

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Q: Find xz ds, where C is the line segment from (0,-2,4) to (0,-6,1).

A:

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=…

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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: point

A:

Q: 9. What point on the line y=3x+4 is closest to the origin?

A: Given that: y=3x+4

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: What can you conclude if you know that the point (p, q) lies on the line y — тх + b?

A: The given equation of the line is, y=mx+b If a point lies on the line then the point satisfies the…

Q: Slope = 2; containing the point (4,-3)

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

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Q: Find x²z ds, where C is the line segment from (0,6,4) to (1,3,-2) C

A: ∫C y ds,  C: x=t2, y=t,  -2≤t≤3   dxdt = 2t,   dydt= 1∫Cy ds = ∫-23 t  (2t)2+1 dt=∫-23 t  4t2+1…

Q: Is it true or false that the equation the distance from the point A(1,2, 6) to the line x + y + 2z =…

A: The line is l:l:x+y+2z=62x-y+z=9 and the point is 1,2,6

Q: What would the x,y,z intercepts be of 1/16 x2 - 1/49y2 + z = 1

A: We have to find the x,y, and z intercepts of x216-y249+z=1.

Q: Find an equation of the line satisfying the following conditions. Through point (1, –5);…

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Q: Show that the product of the perpendicular distances from the origin to the pair of straight lines…

A: