Consider the set of all lines with negative slope that pass through the point P(13, 17). Let us denote the x-intercept of the line by A, the y-intercept of the line by B, and the origin by C. Find the value of the slope of the line if the area of triangle ABC is the smallest possible area. slope =

Q: What is the families of the curve of all straight lines through the fixed point (h,k).

A: The differential equation representing the families of curve of all straight lines through the fixed…

Q: Find the equation of the line perpendicular to the liney = 2x + 1 and containing the point (3, 5).…

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Q: The slope of line l is x, and the slope of line m is x+2. If 11 m, what is x?

A: If two lines are perpendicular  Then  m1 × m 2 = - 1  Here m1 and m2 are slopes of lines .

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

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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: Let P= (2,3) and Q= (4,6). Find the slope of the line containing P and Q?

A: Formula:

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: Given that MN has a slope of -2, if P(1,5) and Q(-3,y) are collinear with M and N, what is the value…

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Q: A line that passes through (3,1)) and has a slope of is written as y= X+

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Q: 3. Find the slope of any line that is Line € has slope m a) parallel to €. b) perpendicular to l.

A: To find the slope of the line

Q: Find y if the line through (1, y) and (4, 2) has a slope of 5/3.

A: Given points are  a,b=1,yc,d=4,2

Q: Find the slope-intercept form of the line that satisfies the given conditions. Through A(−7, 5) and…

A: The slope intercept form of the line is given by,y = mx + cWhere, m is the slope and c is the…

Q: If slope of the line passes through the points K (x1, (5+6) and H (x2, -1)is and the midpoint…

A: Given that the line passes through K(x1,5+6) and H(x2,-1).That is,K(x111)and H(x2,-1).The slope is…

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Q: Suppose that between two points on a line, the rise is 4, and the run is 1. What is the slope m of…

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Q: If point A has coordinates (0, 5) and point B is southeast of it in the first quadrant with a slope…

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Q: Consider the pair of points below. (4, 5) (5, 3) Find the slope of the line passing through the pair…

A: The slope of line passing through the points x1,y1 and x2,y2 is:m=y2-y1x2-x1

Q: If the slope of a line in the standard (x, y) coordinate plane is 0, and one point on the line is…

A: Given, Slope of a line in x-y plane is zero and one point on the line is (5,1)

Q: Draw the line through (- 1, 5) so that it has slope m =

A: We have to draw the equation of line passing through point -1, 5 and it has slope m=-23. We know the…

Q: Points: А: (27, 41) B: (8, 31)

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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 slope and y-intercept of the line through the point (5,9) that cuts off the le slope = %3D

A: let slope of the line is = m  The equation of line passing through the point (5,9) and having slope…

Q: A line has slope and passes through the point (a, b). Which of the following is not a point on l?

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Q: If the slope of a best-fitting line is zero, the line is: O vertical O moving down and to the left O…

A: Answer: ⊙ Horizontal. If the slope of best fitting line is zero, the line is horizontal.

Q: Find the equation of the line perpendicular to the liney = 2x + 1 and containing the point (3, 5).…

A: Equation of given line is,y=2x+1, comparing it with standard equation of line in slope intercept…

Q: Two lines that have slopes of 5 and are perpendicular. O True O False

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Q: If m>0 and the points (m,3) and (1,m) lie on a line with slope m, then find m?

A: SLOPE OF A LINE PASSING THROUGH TWO POINTS   X1,Y1           AND   X2, Y2    IS…

Q: Find the each line in all Sorms equoton of (2.4) 1. with slope = -2 %3D Through b. slope interevept…

A: As per guidelines we have to solve one question

Q: Thus, to find the slope of the secant line passing through P(2, 4) and Q(3, 3.), substitute x for x…

A: Topic:- Coordinate Geometry

Q: If Y (-7,-4) and Z (5, 2), find the slope of a line perpendicular to YZ O 2

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Q: Find y such that (3, y) lies on the line of slope m = 2 through ( 1, 4).

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Q: If slope of the line passes through the points K (x1,(5+B)) and H (x2, -1 )is – and the midpoint…

A: Suppose we have two points Ax1,y1 and Bx2,y2 . Slope of line passing through the points A and B is…

Q: What is the egualion of Hhe line over the intereval (5, ] ? What would the exact value of the…

A: Given Points (-5,-3), (-2,4) through which the required line passes.

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

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Q: If the slope of a line in the standard (x, y) coordinate plane is 0, and one point on the line is…

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Q: find equation for the line threugh (el) and farullel to z-axis. Q3 :

A: To determine: The equation of the line passing through the point (1,1,1) and parallel to the z-axis.…

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: Line L, passes through points (a, 5b) and (3a, 2b). Ifline La is perpendicular to line L1, what is…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: What is the value of k such that the lines 3x+6ky=7 and 9kx+8y=15 will have the same positive slope?

A: 3x+6ky=7 and 9kx+8y=15

Q: Plot the pair of points and find the slope of the line passing through them. (0, 0), (-7, 8) Sup 1…

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Q: Graph the line containing the point P and having slope m. P = ( -2 , 0 ) ; slope undefined

A: Given that the line has undefined slope and contains the point P (-2,0) We shall find the equation…

Q: Mar 25 T Determine if the given slopes are from lines which are parallel, perp- 1 (а) ту — 2, т2 (b)…

A: We  have to choose the option

Q: Find the slope of the line that passes through the given pair of points. (II (7, 6) and (6, 11)

A: Slope can be calculated as y2 - y1x2-x1 (x1 , y1 ) are coordinates of the first point (x2 , y2 ) are…

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: If A has coordinates (2, 1) and B has coordinates (x, 3), find x so that the slope of AB is – 3.

A: If A has coordinates (2, 1)  and B has coordinates (x, 3). The slope of the line AB is m = -3. To…

Q: Consider the following line segment between (x1.y1) = (40, 67) and (x2y2) = (78, 164). The slope of…

A: The given points are x1,y1=40,67 and x2,y2=78,164.  For the line segment that is 15 of the segment…

Q: Let P= (-2, 1, +a) and Q= ( 3, 6, +2a). Find the  slope of L containing P and Q?

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Q: Graph the line containing the point P and having slope m. P = ( 0,3) ; slope undefined

A: Given: P=0,3, slopem=undefinedWe know that equation of line which passes through pointa,b and slope…

Q: Find x if the line through (-2, 4) and (x, 6) has a slope of 2/9.

A: We have given 2 points of a line and its slope   points are (-2, 4)  and  (x, 6) slope is  29