Refer to the graph of y = f(x) = x? + x shown. a) Find the slope of the secant line joining (- 4, f( - 4)) and (- 2, f(- 2)). b) Find the slope of the secant line joining (- 4, f( - 4)) and (- 4+h, f(- 4+ h)). c) Find the slope of the graph at (-4, f(- 4). d) Find the equation of the tangent line to the graph at (- 4, f(- 4).

Q: B)Find the equation of all lines having slope (-2). That are tangent to the curve? 3 y = x-1

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Q: Slope ; containing the point (1, –1) 3

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Q: 11. Find the slope-intercept of equation of the line J through (1, -5 H having an equation of 3-y =…

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Q: Parallel to the line y=-3x+ 2; containing the point (-1,2)

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Q: Assume 4x3 + 2xy - y3 = 1/2 . What is the slope of the graph at the point(1/2, -1)  ?

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

A: y=1;(2,6)

Q: The line perpendicular to y=x+5, passing through the point (3, 2).

A: You know that if you multiply slopes of two perpendicular lines you will get -1. m1 x m2 = -1

Q: Chose the slope-intercept form of the equation of the line through the point (-1,2) and…

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Q: Find the slope of the curve defined by the equation yx^2 – 8 = 0 at the point (2,2)?  a. 2 b. –1 c.…

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Q: Draw the line y = 2.x + 1 and its image under reflection in the y-axis.

A: The given line is  y=2x+1 The slope of the line is 2, Y-intercept is 1,0 and X-intercept is -0.5,0.…

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 :

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

Q: Find the point on the line y = x + 1 that is closest to the point (4, 1).

A: The given equation of the line is, y=x+1 Let the point x,x+1 is closest to the point 4,1 Using…

Q: Find the equation of the curve whose slope is 3x^4 - x^2 and passes through point (0,1). a. x3 3x5…

A: Given: slope of the curve= 3x4-x2  and passes through the point (0,1)To Find: Equation of the curve

Q: m=--. Find the equation of line passing through point (1, 2) with slope 4

A: Equation of the line with the slope m and passing through the point (x1,y1) is:

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a…

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1)

Q: The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is

A: The equation is y=3x-2x2

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: The equation of the curve passing through the point (2, 3) and having slope 6x^2 - 8x + 1 at every…

A: Solution is given below:

Q: Perpendicular to the line 3x - y =-4; containing the point (–2,4)

A: 3x-y=-4 y=3x+4 here coefficient of x is 3 so the slope of the given line is m=3 and the given line…

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: Write the equation of the line tangent to the graph of y2 = 6y-4x+3 at (-1,-1).  The equtaion is y=…

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Q: What is the equation of the curve that passes y? slope of at any point (x, y)? Væ+3

A: Given, slope of the curve at any point (x, y) is  y2x+3.

Q: Horizontal; containing the point (-3,2)

A: We have to find the equation

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

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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…

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A: Given that a line passes through (x1, y1) and has a slope m

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

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Q: Consider the line  y=x+7 .   What is the slope of a line parallel to this line?   What is the…

A: Given that: Equation of line is: y=x+7

Q: Find a relationship between x and y such that (x, y) is equidistant (the same distance) from the two…

A: If the distance from (x,y) to the points (3,2) & (5,-1) are equal, then the squared distance is…

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

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Q: The equation of the line with slope – 2 that goes through the point ( – 5, – 2) ca the form y = mx +…

A: Given that the slope is -2, the point is -5,-2 and the equation of line is y=mx+b.

Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…

A: We will derive this formula using the equation for the slope of a line. let us consider a line whose…

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

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Q: Find a general form of an equation of the line through the point A that satisfies the given…

A: Given m=-3,x1=4,y1=0.

Q: 1. Find the x- and y-intercepts for x + 2y = 3, and then sketch the graph. What is the slope?

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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: The line shown above has an y-intercept of T

A: From the graph we can see that the line intersect the y-axis at y = 1

Q: A horizontal line is given by an equation of the form................... ,where b is…

A: We have to fill in the blanks: A horizontal line is given by an equation of the form --, where b is…

Q: In the above graph of y = f( x ), find the slope of the secant line through the points ( -4, f( -4 )…

A: The solution for the above question is as shown below.

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: What is the slope of the secant line that intersects the graph of f (2) = /4x +1at ¢ = 0 and & = 6?…

A: fx=4x+1 When x=0, we get f0=40+1=1 When x=6, we get f6=46+1=5

Q: 14) Identify the point slope form of the line below. A) y - 3-+ 1) B) y+3-1) C) y+3=-+1) y-3D E) y -…

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Q: Find the point of the line y = 2x − 1 that is closest to the origin.

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Q: Find the slope of the curve at the given point. y=2x^3−3x @ (-1,1)

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Q: Consider the line: 2x+2y=6 Find the slope, m, and the y-intercept,b. Then, graph the line.

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