Answer:
y = -x + 0
Step-by-step explanation:
The equation of the line
y = mx + c
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( 4 , -4) ( -4 , 4)
x1 = 4
y1 = -4
x2 = -4
y2 = 4
Insert the values into the equation
m = 4 - (-4) / -4 - 4
m = 4 + 4 / -4 - 4
m = 8 / -8
m = -1
y = -1x + c
y = -x + c
Step 2: sub any of the two points given into the equation
y = -x + c
( 4 , -4)
x = 4
y = -4
-4 = -(4) + c
-4 = -4 + c
-4 + 4 = c
c = 0
Step 3: sub c into the equation
y = -x + c
y = -x + 0
Therefore the equation of the line is
y = -x + 0
can you describe it for me cuz I know the answer
Twice a number is 2n
14 more than twice a number is
14+ 2n or 2n + 14
these both are the same.
Did you figure out the anwser
Answer:
The solution for the compound inequality = ∅
Step-by-step explanation:
The given inequality:
3x - 8 ≤ -5 & 2x - 7 > 5
<u>For the inequality 3x - 8 ≤ -5</u>
3x - 8 ≤ -5 add 8 to both sides
3x ≤ 3 divide both side by 3
x ≤ 1
So, the solution of the inequality 3x - 8 ≤ -5 ⇒ x ∈ (-∞ , 1]
<u>For the inequality 2x - 7 > 5</u>
2x - 7 > 5 add 7 to both sides
2x > 12 divide both sides 2
x > 6
So, the solution of the inequality 2x - 7 > 5 ⇒ x ∈ (6 , ∞)
The solution for the compound inequality will be:
(-∞ , 1] ∩ (6 , ∞) = ∅
See the attached figure.