Answered

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based on the graph which equation can be used to describe the relationship between x and y?

Based On The Graph Which Equation Can Be Used To Describe The Relationship Between X And Y class=

Sagot :

hello

to solve this problem, we can easily find the slope of the line

this will give us the an insight to the answer

[tex]\text{slope(m)}=\frac{y_2-y_1}{x_2-x_1}[/tex]

now let's identify our points

[tex]\begin{gathered} y_2=2 \\ y_1=-4.5 \\ x_2=-13.5 \\ x_1=6 \end{gathered}[/tex][tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{2--4.5}{-13.5-6} \\ m=\frac{6.5}{-19.5} \\ m=-\frac{1}{3} \end{gathered}[/tex]

the slope of the line is -1/3 and this corresponds to option B

the equation of the line is given as

[tex]y=-\frac{1}{3}x-2.5[/tex]

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