Hello!
To the value of b, or the y-intercept, we need to substitute an ordered pair/point into the given equation.
Since we are given two points, we can use those two points to find two different equations.
Remember that ordered pairs are written as (x, y).
A(-2, 4)
y = -3x + b
4 = -3(-2) + b
4 = 6 + b (subtract 6 from both sides)
-2 = b
A) Therefore, the equation of the first ordered pair is y = -3x - 2.
B(5, 2)
2 = -3(5) + b
2 = -15 + b (add 15 to both sides)
17 = b
B) The equation of the second ordered pair is y= -3x + 17.
<u>Final answers</u>:
- A) y = -3x - 2
- B) y = -3x + 17
Answer:
AB = DF (Proved below)
Step-by-step explanation:
Here,
CE = CD + DE [since D is a point over CE]
= DE + EF [ Since, CD = EF (given)]
= DF [ Since, E is a point over DF] ---------------(1)
Again,
AB = CE (given) ------------------------(2)
So from (1) and (2),
AB = CE = DF
⇒ AB = DF (Proved)
Answer:
c
Step-by-step explanation:
let the number be n then multiplied by itself gives n², thus
n² + 7 = 16 ( subtract 7 from both sides )
n² = 9 ( take the square root of both sides )
n = 
= 3
