Question

According to the graph, what is the value of the constant in the equationbelow?Height = Constant - Width+T-+Height(7.3.5)(3, 15)(2.1)WidthA1B. 2C. 0.5D. 4

Answer 1

It is given that the line passes through the points (2,1) and (8,4) so the equation by two point form is given by:

$\begin{gathered} \frac{y-1}{x-2}=\frac{4-1}{8-2} \\ \frac{y-1}{x-2}=\frac{3}{6}=\frac{1}{2} \\ 2y-2=x-2 \\ 2y=x \\ y=\frac{x}{2} \end{gathered}$

Here y is the height and x is the width.

The value of the constant is 1/2 or 0.5.

Option C is correct.