fx​(1,2) and fy​(1,2) and interpret these numbers as slopes. Illustrate with either hand-drawn sketches or computer plots.

Q: 2- Use slopes to show the given points lie on a- (1, 1), (-2, -5), & (0, -1). b- (-2, 4), (0, 2); &…

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

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

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Q: Suppose a mining company will supply 120000 tons of ore per month if the price is 70 dollars per ton…

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Q: If R has coordinates (-5, 2) and S has coordinates (2, y), find y so that the slope of RS is . -6 7

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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: 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: Find the slope of the line 1. that is parallel to 2x + y = 7 2. that is perpendicular to 3x + 4y =…

A: Recall: Two lines are parallel if and only if their slopes are equal. i.e, m1=m2 ( m1and m2 are…

Q: What is the slope of the given curve y = 8x

A: Give curve,         y = 8x-3x² at point (2,4)

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: Estimate the slope of the graph at the points (x1, Y1) and (x2, y2). At (x1, Y1), slope = At (x2,…

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Q: The gradient of the line  8y = 4 - 12 is

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Q: Find the distance from the point P(2,1) to the line y = x + 2 *

A: Given point is P(2,1) and the line is given as y=x+2 1x-1y+2=0 The formula to find the distance…

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)

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Q: Consider the line y=x. 2 What is the slope of a line parallel to this line? What is the slope of a…

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Q: For Exercise, find the slope of the secant line pictured in red (1, 6) y = f(x), (5, 2)A -3-2-! 4 $

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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: Find | x²z ds, where C is the line segment C from (0,-3,2) to (-3,-2,8)

A: Given C is the line segment from (0,-3,2) to (-3,-2,8) Now write the parametric equation for C…

Q: If f(x) = 19x + 22, find the slope of the secant line between the values of xj = 9 and x2 = 3.

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Q: Find y so that CD has slope m, where: a) Cis (2, - 3), D is (4, y), and m = b) Cis (-1, -4), D is…

A: Suppose, CD¯ is a line segment and coordinate of C and D are a, b and (c, d) respectively. Then the…

Q: Find the slope m and the y-intercept of the line. slope yrintercept (x. v) -

A: Equation of the line which is having slope m and y-intercept (0, c) is y=mx+c

Q: Estimate the slope of the graph at the points (x,, y,) and (xɔ, y2). At (x, Y1), slope At (x2, Y2),…

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Q: The formula for slope between two points (x1, y1) and (x2, y2) is: m = 5-4 O True O False

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

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Q: Estimate the slope of the graph at the points (x,, y,) and (x2, Y,). At (x,, Y1), slope = At (x2,…

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Q: Find the slope of Xy = 8 at the point (2,2).

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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 a point on the line y = 2x 3 that is 5 units from the x axis. %3D

A: The given equation is, y=2x-3

Q: Estimate the slope of the graph at the points (x1, Y1) and (X2, Y2). At (x1, Y1), slope %3D At (x2,…

A: For slope 1 from the above graph observe the line on x1,y1 which is located so, the observed points…

Q: B. Find the inclination of the line whose slope is given: 1. 1 2. -1 3. 2/3 4. -3/5 5. -V3.

A: To find the inclination of the line.

Q: Are there any points on the curve y = (x/2) + 1/(2x - 4) where the slope is -3/2? If so, find them.

A: Find dy/dx

Q: If f(x) = 13x + 6, find the slope of the secant line between the values of x1 = 6 and x2 = – 8.

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Q: Find the point on the line 2x + y = 5 that is closest to the point (-4, 3). (x, v) = (

A: We haveThe line 2x+y=5 closest to the point −4,3

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: The product of the slopes of two nonvertical perpendicular lines is

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Q: Give the equation of the line passing through the point (12, – 16) that is perpendicular to 6 y =…

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Q: The gradient of the line 4y =4 - 6x  is?

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Q: Give the slope and y-intercept of the given line whose equation is given. Assume that B ≠ 0 : Ax +…

A: Given equation of line is Ax+By=C. Equation of line in slope-intercept form is y=mx+C, where m is…

Q: Estimate the slope of the graph at the points (x,, y,) and (x2, Y2). At (x1, Y1), slope At (x2, Y2),…

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: If f(x, y) = 36 - 6x2 - y2, find fx(-6, 8) and fy(-6, 8) and interpret these numbers as slopes.…

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

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Q: Give the slope and the y intercept of the line 2x 9y 6. Slope = %3D y intercept = (0, %3D

A: Arranging the above line equation into y = mx + c Where, m- is the slope c- slope

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: represents

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Q: Find the gradient of the line joining the points A(3,4) and B(2,3)

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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: Find y so that CD has slope m, where: a) C is (2, – 3), D is (4, y), and m b) C is (-1, –-4), D is…

A: Slope(m) of line passing through points x1,y1 and x2,y2 is m=y2-y1x2-x1   ....1

Q: If f(x) = 15x +3, find the slope of the secant line between the values of x1 5 and x2 = 3. %3D

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.