Question

According to the graph what is the value of the constant in the equation below ?

Answer 1

Answer:

The value of the constant in the equation is 1.5

Step-by-step explanation:

In the graph,

x represents the width, and

y represents the height

And given that,

$\text{Height}=\text{Constant}\times \text{Width}$

We know that,

$\Rightarrow \text{Slope}= \dfrac{y}{x}=\dfrac{\text{Height}}{\text{Width}}$

$\Rightarrow \text{Height}=\text{Slope}\times \text{Width}$

So, slope of the line is equivalent to the constant.

Slope can be determined by taking any two points on the line and then applying the slope formula.

Taking (6, 9) and (4, 6)

So,

$\text{Slope}= \dfrac{y_2-y_1}{x_2-x_1}$

$=\dfrac{9-6}{6-4}$

$=\dfrac{3}{2}$

$=1.5$