Question

Which unit rate corresponds to the proportional relationship shown in the graph?

Answer 1

Answer:

1.5 cm/s​

Step-by-step explanation:

The unit rate is the same as the slope.

To find the slope, we use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using our points, we have

m = (9-0)/(6-0) = 9/6 = 3/2 = 1.5 cm/s

Answer 2

Equation of line having coordinates $(x_{1},y_{1}), (x_{2},y_{2}) {\text{is given by two point formula for line}} = \frac{y-y_{1}}{x-x_{1}}= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Now,as given the line passes through (0,0) and (6,9).

So, equation of line passing through (0,0) and (6,9) is :

→ $\frac{y-0}{x-0}=\frac{9-0}{6-0}\\\\ y=\frac{9}{6} \times x \\\\ y= 1.5 x$

As , slope intercept form of line is , y = m x +c

By comparing two lines

we get, m = 1.5

We can also find directly  slope of line using the formula

m= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{9-0}{6-0}=1.5$cm/s→→option (D)