Answer:
5x+4y = 24
Explanation:
We know the y intercept = 6
We can find the slope
(0,6) and (4,1)
m = ( y2-y1)/(x2-x1) = ( 1-6)/(4-0) = -5/4
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = -5/4x+6
Multiply each side by 4
4y = -5x+24
Add 5x to each side
5x+4y = 24
The standard form of a line is
Ax +By = C where A,B C are integers and A > 0