Question

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 + ___

Answer 1

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

Answer 2

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 =(y2-y1)/(x2-x1)`

`m =(14-15)/(10-0)`

`m =-(1)/(10)`

The cutting point with the vertical axis is:

`b=15`

Therefore, the equation of the line is:

`y =-(1)/(10)x + 15`

Answer:

the equation that represents Emily’s situation is:

`y =-(1)/(10)x + 15`