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JulijaS [17]
3 years ago
5

Based on the table of values below, find the slope between points where x = 1 and where x = 4.

Mathematics
2 answers:
Andre45 [30]3 years ago
7 0
\bf \begin{array}{llll}
x&\boxed{1}&3&\boxed{4}\\\\
y&\boxed{8}&6&\boxed{-1}
\end{array}\\\\
-------------------------------\\\\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 1}}\quad ,&{{ 8}})\quad 
%   (c,d)
&({{ 4}}\quad ,&{{ -1}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-8}{4-1}\implies \cfrac{-9}{3}\implies -3
34kurt3 years ago
4 0

Answer:

The slope between the points where x=1 and where x=4 is :

-3

i.e. option: A is the correct answer.

Step-by-step explanation:

Let Y=f(X)

We are given a table of values as:

X: 1 , 3 , 4

Y: 8, 6, -1

Let m represents the slope .

We know that the slope between the points x=a and x=b is give by:

m=\dfrac{f(b)-f(a)}{b-a}

Here we are asked to find the slope between x=1 and x=4

i.e. we have:

a=1     and   b=4

f(a)=8   and    f(b)= -1

Hence, the slope between x=1 and x=4 is calculated as:

m=\dfrac{-1-8}{4-1}\\\\m=\dfrac{-9}{3}\\\\m=-3

Hence, the slope is:

-3

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