Respuesta :

Answer: D

Step-by-step explanation:

using “y=mx+b” where “b” is your y intercept and “m” is your slope, you can see that it is D just by finding which one passes the y-int at 2 and has a left pointed diagonal slope of -2. (Take two points 0,2 and 1,0 in my case and do y2-y1 / x2 - x1 if you don’t want to eyeball them for the slope?

Answer:

Step-by-step explanation:

Slope-intercept form of linear equation:  y = mx + b

(where m is the slope and b is the y-intercept)

Therefore, from inspection of the given equation y > -2x + 2

slope = -2  and y-intercept = (0, 2)

As the slope is negative ⇒ as x increases, y decreases

The dashed line means < or > (whereas a solid line means ≤ or ≥)

So for  y > -2x + 2  we expect to see the area shaded above a dashed line.

Therefore the graph that shows the solution to y > -2x + 2 is graph D as:

  • negative slope
  • y-intercept at (0, 2)
  • shading above a dashed line

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