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:

$m =\frac{y2-y1}{x2-x1}$

$m =\frac{14-15}{10-0}$

$m =-\frac{1}{10}$

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:

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