Answer:

Step-by-step explanation:
Given: The attachment
Required: Determine the equation
We start by picking any two equivalent points on the table:


Next, we determine the slope, M:




The equation is then calculated as:

Where:


So, we have:

Open bracket

Collect like terms


Hence, the equation is: 
Answer:
Step-by-step explanation:
See attached image.
Answer:
y = -x + 1
Step-by-step explanation:
The slope-intercept formula is y = mx + b where m is the slope and b is the y-intercept. Since slope is...

this means that the slope of the line is -1 (the rise is -1, the run is 1, -1/1 = -1). By looking at the graph you can also see that the line goes through 1 on the y-axis, so the y-intercept is 1. By plugging in the appropriate values, the equation of the line is y = -1x + 1 or just y = -x + 1
Answer:
a) 3x-5=16
b) 30cm
Step-by-step explanation:
a) 5(x-1)=2(x+8)
5x-5=2x+16
5x-2x-5=16
3x-5=16
b) solving the equation gives x=7
put x=7 into first line, 5(7-1)=30cm
to check we can place it into second one as well
2(7+8)=30cm