Question

Need some help Appreciate any help Take a look at the screenshot

Answer 1

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

Answer 2

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

We already know the b, so:

$y=mx+2$

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):

$0=m(4)+2$

$-2=4m$

$m=-1/2$

Thus, the entire equation is:

$y=-\frac{1}{2} x+2$