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I'll send the pic in the session

1 Answer

4 votes

The Slope-Intercept form of the equation of a line is:


y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

In this case you know that "y" represents the number of books in Himanshu's home library and "x" represents the number of weeks.

In the graph you can identify that:


b=6

And you can also identify this point on the line:


\mleft(2,8\mright)

Where:


\begin{gathered} x=2 \\ y=8 \end{gathered}

Substitute these values into the equation


y=mx+b

and solve for "m" in order to find the slope:


\begin{gathered} 8=(m)(2)+6 \\ 8-6=2m \\ \\ (2)/(2)=m \\ \\ m=1 \end{gathered}

Then, the equation of this line is:


y=x+6

Based on the explained above, you can conclude that he had 6 books in his library and then he started adding 1 book each week.

To find the number of books he has after 4 weeks, you can make:


x=4

Substitute this value into the equation and evaluate. Then:


y=(4)+6=10

The answer is: Option A and Option F.

User Anddoutoi
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