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:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using our points, we have
m = (9-0)/(6-0) = 9/6 = 3/2 = 1.5 cm/s
Equation of line having coordinates [tex](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}}[/tex]
Now,as given the line passes through (0,0) and (6,9).
So, equation of line passing through (0,0) and (6,9) is :
→ [tex]\frac{y-0}{x-0}=\frac{9-0}{6-0}\\\\ y=\frac{9}{6} \times x \\\\ y= 1.5 x[/tex]
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= [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{9-0}{6-0}=1.5[/tex]cm/s→→option (D)
