Which linear inequality could represent the given table of values?
y < –2x + 3
y ≤ –2x + 3
y > –x – 3
y ≤ –x – 3

The answer is (B) y ≤ –2x + 3 .

Step-by-step explanation: We are to select the correct linear inequality that could represent the table of values given in the question.

If (x, y) = (-4, -1), then

So, y < -2x + 3.

If (x, y) = (-2, 4), then

So, y < -2x + 3.

If (x, y) = (3, -3), then

So, y = -2x + 3.

If (x, y) = (3, -4), then

So, y < -2x + 3.

Therefore, we have y is either less than or equal to (-2x + 3).

Thus, y ≤ –2x + 3  and (B) is the correct option.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is