Which inequality describes the graph

y < 1/2x - 2

Step-by-step explanation:

Find the slope of the graph, we can find the slope of the graph by using the formula y2 - y1/x2 - x1. But in order to do so, we must find two perfect points.

Point 1: (0,-2)

Point 2: (4,0)

Now, we would put these points into the formula.

0 -(-2) = 2

4 - 0 = 4

2/4 = 1/2

Therefore, the slope of this graph is 1/2

Now we must find the y intercept, which can be found based on where the line intersects with a y coordinate (ex: 0,y). Based on that, we can come to the conclusion that -2 is our y-intercept

In order to proceed we must know what a linear equation is. A linear equation contains the following:

y = mx + b

m of mx represents the slope, you would leave x as it is.

b represents the y intercept

We have already found what each is, so we can go ahead and put in our slope and y-intercept into the linear equation.

y = 1/2x + -2

Because, we are dealing with an inequality problem, the equal sign must be replaced with an inequality sign and that is determined based on the area of the graph that is shaded.

Since, the graph is shaded downwards we will be using the "less than sign", in addition if you haven't noticed, the line is dotted so we will NOT be using any "equal to symbols"

So, after applying all of this together, we can conclude that the inequality that describes this graph is y < 1/2x - 2

Should you have any further questions, please let me know in the comment section below.

(0.2)+(-8)=0.3+-3+0.3m is the equation i guess? ?

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.