Answer:
Y = (1/3)X + 4
Explanation:
You need to know the equation Y = mX + b, for two sets of coordinates
Therefore we need to find the slope and the interception of the given points.
1) The slope of the line
We can use the point slope form, and clear for the slope m
y - y1 = m (x-x1)
m = (y -y1) / (x -x1)
The data given is: A (3, 5) and B (0, 4)
Then substitute in the slope: m = (5 -4)) / (3 -0) = (1/3)
m = 1/3
2) Find the interception
From the general equation slope intercept Y = mX + b, clear b
b = Y - mX
Now substitute any given point to obtain b the interception
b = Y - mX
Lets choose point A (3, 5), remember m = 1/3
b =5 - (1/3)(3)= 4
b = 4
3) Therefore with the values of m and b, the general equation for the slope intercept form is:
Y = mX + b -->
Y = (1/3)X + 4