Respuesta :

Answer:

5x+4y = 24

Step-by-step 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