Question

Which linear inequality represent the graph below?

Answer 1

Answer: B

Step-by-step explanation:

the reason the answer is B is because you want to:

1st. count how many down or up on the the Y line. In this case its 2 down which is -2.

2nd. count the boxes over. It's  2 boxes over so that gives u your top number.

3rd and final step. you count up till you reach the top point. that 5 space and so 5 is your bottom number.

Here's a trick that I use. I draw a triangle. Once u plot the points you connect them with a line is the line is going left its a negative of its going right its a positive.

then while you count the blocks draw a line in the end it turns into a triangle.

Here's a example.

PS. the top number of the fraction and the last number always match. Thats another way you can tell if its a negative or a positive.

Answer 2

Answer:

option A

Step-by-step explanation:

To find the linear inequality , pick the two points and frame the equation y=mx+b

two points are (-2,3) and (0,-2)

$m= \frac{y_2-y_1}{x^2-x_1} =\frac{-2-3}{0+2} =-\frac{5}{2}$

y intercept is (0,-2) , so b= -2

the equation becomes

$y= -\frac{5}{2}x-2$

we have dotted line for graphing , so we use < or >  symbol

the graph is shaded to the left

for shading to the left we use < symbol

$y < -\frac{5}{2}x-2$