Emily designed a robot that could climb down steps. She drew a graph to show the results from a test of her new robot. The graph shows the number of steps remaining over time.


Complete the equation that represents Emily’s situation.


y = __ x + ___

Emily designed a robot that could climb down steps. She drew a graph to show the results from a test of her new robot. The graph shows the number of steps remai class=

Verified Answer :

gradient= -1/10
y intercept= 15
y= -1/10x + 15

The generic equation of the line is:

\(y = mx + b\)

Where,

m: slope of the line.

b: cutting point with vertical axis.

The slope of the line is given by:

\(m =\frac{y2-y1}{x2-x1}\)

\(m =\frac{14-15}{10-0}\)

\(m =-\frac{1}{10}\)

The cutting point with the vertical axis is:

\(b=15\)

Therefore, the equation of the line is:

\(y =-\frac{1}{10}x + 15\)

Answer:

the equation that represents Emily’s situation is:

\(y =-\frac{1}{10}x + 15\)