Respuesta :

wegnerkolmp2741o

Answer:

y = -1/2x+2

Step-by-step explanation:

Two points on the line are (0,2) and (4,0)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (0-2)/(4 -0)

   = -2/4

    - 1/2

We know the y intercept is 2 since it crosses the y axis at 2

The slope intercept form is

y = mx+b where m is the slope and b is  the y intercept

y = -1/2x+2

xKelvin

Answer:

See below.

Step-by-step explanation:

First, from the graph, we can already pick out two points: (0,2) and (4,0). Note that (0,2) is the y-intercept.

Therefore, we can use slope-intercept form or [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.

We already know the b, so:

[tex]y=mx+2[/tex]

Now, we can plug in the ordered pair (4,0) to help us determine the slope (or you can just use the slope formula for the two ordered pairs):

[tex]0=m(4)+2[/tex]

[tex]-2=4m[/tex]

[tex]m=-1/2[/tex]

Thus, the entire equation is:

[tex]y=-\frac{1}{2} x+2[/tex]

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