Answer:
A general lineal equation is written as:
y = a*x +b
Where a is the slope (also called the rate of change) and b is the y-intercept-
For a line that passes through the points (x1, y1) and (x2, y2)
The slope will be:
a = (y2 - y1)/(x2 - x1)
For the line:
Y= (8/5)*x+ 3/5
The slope, or rate of change, is 8/5.
Then we want to find two points (x1, y1) and (x2, y2) such that the slope generated by them is larger to 8/5.
There are a lot of ways to finding these points, a simple way is:
We could define (x1, y1) = (0, 0)
And (x2, y2) = (5, 9)
Then the rate of change of the line that passes through these two points will be
a = (9 - 0)/(5 - 0) = 9/5
Which is larger than 8/5, as we wanted.
