What is the equation of the line that passes through points (0,4) and (6,0)?

1 Answer

The solution to this question would be #f(x)=-2/3x+4#.

Explanation:

I got this answer by first using the slope formula, which would result into #(0-4)/(6-0)#, for which the answer would be #-2/3#. Then, the y-intercept could be found easily, since you already have it., which is (0,4). Since the format for all linear equations are #y=mx+b#, in which #b# means the y-intercept and #m# means the slope. So then, if you substitute #-2/3# for #m# and 4 for #b#, you would get #y=-2/3x+4#.

Hence, the solution is #f(x)=-2/3x+4#.