Answer: y = (16/3)*x - 13.33
Explanation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then for our particular case, we know that the line passes through the points (4, 8) and (1, -8)
Then the slope for this line will be:
a = (8 - (-8))/(4 - 1) = 16/3
Then our line is something like:
y = (16/3)*x + b
We need to find the value of the y-intercept b.
We know that this line passes through the points (4, 8) and (1, -8)
Then we can just replace the values of one of these points in our linear equation, for example, if we se the first one we get:
x = 4 and y = 8
replacing that in our equation we get:
8 = (16/3)*4 + b
8 - (16/3)*4 = b
-13.33 = b
Then the equation for our line is:
y = (16/3)*x - 13.33