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katrin2010 [14]
3 years ago
14

The equation for a line is 4x -3y=24. What is the slope of the line?

Mathematics
2 answers:
MA_775_DIABLO [31]3 years ago
4 0
Your answer is M= 4/3
eimsori [14]3 years ago
3 0

\bf 4x-3y=24\implies 4x-24=3y\implies \cfrac{4x-24}{3}=y \\\\\\ \cfrac{4x}{3}-\cfrac{24}{3}=y\implies \stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{3}}x-8=y~\hspace{5em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

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padilas [110]
Hi there

The parent function is the following:
y = |x|

We need to translate the function 8 units left to get the function: y = |x + 8|

Therefore the answer is: 8 units left.
5 0
3 years ago
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If c varies directly as (r + 1) and c = 8, when r= 3, calculate the value of r when c= 20.
Aneli [31]

Answer:

r = 9

Step-by-step explanation:

Given that c varies directly as (r + 1) then the equation relating them is

c = k(r + 1) ← k is the constant of variation

To find k use the condition c = 8 when r = 3, then

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9 = r

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3 years ago
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lawyer [7]

Answer:

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Step-by-step explanation:

The difference quotient is a formula that computes the slope of the secant line through two points on the graph of <em>f</em>. These are the points with x-coordinates x and x + h. The difference quotient is used in the definition the derivative and it is given by

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So, for the function f(x)=3x^2 the difference quotient is:

To find f(x+h), plug x+h instead of x

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Finally,

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The difference quotient for f(x)=3x^2 is 3 h + 6 x.

4 0
3 years ago
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