Respuesta :
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,
[tex]\text{Height}=\text{Constant}\times \text{Width}[/tex]
We know that,
[tex]\Rightarrow \text{Slope}= \dfrac{y}{x}=\dfrac{\text{Height}}{\text{Width}}[/tex]
[tex]\Rightarrow \text{Height}=\text{Slope}\times \text{Width}[/tex]
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,
[tex]\text{Slope}= \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\dfrac{9-6}{6-4}[/tex]
[tex]=\dfrac{3}{2}[/tex]
[tex]=1.5[/tex]