Respuesta :

y=-3x+36 because the line crosses the y axis at 36

Answer:

y=-3x +36

Step-by-step explanation:

Hello

according to the graph shown we have a line that passes through several known points, take two of them

P1(0,36) and P2(12,0)

with these two points we can find the slope

[tex]s=\frac{y2-y1}{x2-x1} \\s=\frac{0-36}{12-0}\\s=\frac{-36}{12}\\ s=-3[/tex]

Now, with the slope and a point ( P1) we can find the equation

[tex]y-y_{0} = s(x -x_{0} )\\y-36 = -3( x -0 )\\y= -3x +0+36\\y=-3x + 36[/tex]

Have a great day