To find the slope given two points, you need to subtract the two y values over the two x values
(-5,-3) (9,-6)
-5 will be x1, and -3 will be y1. 9 will be x2, and -6 will be y2. You then need to put the numbers in the correct place in the equation.
y2-y1 -6-(-3) -9
-------- = -------- = ----
x2-x1 9-(-5) 14
Now that we have the slope (-9/14) you can use one of the coordinates to find the value of b.
Let's use (9,-6).
-6=-9/14(9)+b
-6=-81/14+b
+81/14
b=-3/14
Your final equation is y=-9/15x-3/14
First we simplify the inequality
1. <em>multiply 6 by the other side of the inequality (-4) </em>
Now we have ...
a > -24
Anything that can be a solution to the inequality <u>must be greater than -24</u>
-18 is greater than -24
This means that, YES! a = -18 IS a solution to the inequality
You can solve this by multiplying each numerator by the answer choices and trying to divide them. I can't get the fraction maker to work at the moment, so I'll write the calculations on a separate attachment.
As you can see, the only choice that works to eliminate both fractions is the fourth choice,
50x.
900. It estimates bc one is like 288 and one is like 624 or sum.
Okay so process of elimination. The first option isn't correct because the sum of the interior angles for any triangle is always 180 degrees. x would be 25 degrees for ABC because 90+65=155 and 180-155=25. Y would be 95 degrees for DEF because 65+20=85 and 180-85=95, so y does not equal 90 degrees. For B, No side lengths are given. C is also not the correct answer so the answer is D. I can link you to another brainly post that has the same question or a similar with an explanation on determining the answer if you'd like :)