(a) Use slope-Intercept form to write an equation of the line that passes through the glven point and has the given slope. (b) Write the equation using function notation wherey=f(x). (1,-8), m 1

Q: In  the given equation as follows , find the slope of the graph of the function at the given point…

A: To find the slope of the function at the point.

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A: Given: ------------------------------------------------------------------------------ To find: An…

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 3x? – 2x – 8 at x = -2.

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Q: In Problem,determine whether the equation defines y as a function of x. 2x2+3y2=1

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A: Given :

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A: Note:- According to our guideline i didn't solved multiple questions, so please again repost the…

Q: In Problem,determine whether the equation defines y as a function of x. x2-4y2=1

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Q: F'ind the slope-intercept form of the equation of the line through the points (-1, -1) and (2. - 7).

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 1. For a given function f(x) = –7x + 3 a)slope is: b)x-intercept is: ( 0) c)y-intercept is: (0,

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Q: 4. The path of football during a kickoff can be modeled by the function: y = -.0026x2 + 1.196x a.…

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A: Since, we have been given that f(x)=4x2 +12   -(i)Our Aim is to find an equation of the line L…

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A: I am attaching image so that you understand each and every step.

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

A: firstly find the slope of line from given line by converting it into slope intercept form. slope of…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x3 + 8x² – 2x – 3 at x = -7.

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A: Here we find equation of a line that is tangent to the graph fx=x3 and parallel to the line…

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Q: 1. For a given function f(x) = -2x + 6 a)slope is: b)x-intercept is: 0) C)y-intercept is: (0,

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: find the x- and y-intercepts of the graph of the equation. f(x) = 2x-10(                    )…

A: Given information- We have given a function- f(x) = 2x - 10 We can write it as- y = 2x - 10 We have…

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A: The solution of the problem is given in the next steps.

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A: Topic = Derivative

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A: Here is the solution of the given problem.

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Q: 1) Determine whether the equation defines y as a function of x. x = y3

A: Givenx=y3

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Q: Find an equation of the secant line containing (1, f(1) and (2, f(2). 19) f(x) = x3

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: