Question

Which inequality is represented by the graph

Answer 1

Answer:

y ≥ -2x + 2.5

Step-by-step explanation:

It's kind of hard to tell because no points are given on the graph, but we can first find the b value of 2.5 in the equation y = mx +b  as it is the y-intercept.

Using that value, we can also recognize that at one, it looks like the y-value is .5. using our slope formula (change in y / change in x), we can plug in the two points of (0, 2.5) and (1, 0.5) to get a slope of -2.

Now that we have our equation, we can make it an inequality!  

Since the graph is shaded upwards, we know it is going to be a greater than symbol, and since the line itself solid and not dotted, we know that the points on the line are also solutions, meaning that it is also equal to the line

Hence, we get the ≥ sign.

Putting it all together, we get our final equation of y ≥ -2x + 2.5 ! :))