Question

Find the vertical distance $a$ from the given graph.

• A. 0.5 ft
• B. 1.5 ft
• C. 2.5 ft
• D. 15 ft

Answer 1

The correct option is B 1.5 ft


Consider two points (0,0) and (4,2) on the given line.

As the line passes through origin (0,0), we get the equation of the line as,
$y=mx$

Now,
$\text{Slope (m)}=\frac{Rise}{Run}=\frac{\Delta y}{\Delta x}$

Putting the values, we get,
$Slope=\frac{\Delta y}{\Delta x}\text{x}$
$=\frac{(2-0)}{(4-0)}\text{x}$
$=\frac{2}{4}\text{x}$
$=\frac{1}{2}\text{x}$
$=0.5\text{x}$

So, the equation of the line is given as,
$y=0.5x$

At $x$ = 3,
$y$ = 0.5 $\times$ 3
= 1.5

So, the vertical distance $a$ is 1.5 ft.