Let the point_1 = p₁ = (1,4)
and      point_2 = p₂ = (-2,1)
and      Point_3 = p₃ = (x,y)
The line from point_1 to point_2 is L₁ and has slope = m₁
The line from point_1 to point_3 is L₂ and has slope = m₂
m₁ = Δy/Δx = (1-4)/(-2-1) = 1
m₂ = Δy/Δx = (y-4)/(x-1)
L₁⊥L₂ ⇒⇒⇒⇒ m₁ * m₂ = -1
∴ (y-4)/(x-1) = -1 ⇒⇒⇒ (y-4)= -(x-1)
(y-4) = (1-x) ⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ equation (1)
The distance from point_1 to point_2 is d₁ 
The distance from point_1 to point_3 is d₂
d = 
 
 d₁ = 
 
 d₂ = 
 
 d₁ = d₂
∴ 

 ⇒⇒ eliminating the root
∴(-2-1)²+(1-4)² = (x-1)²+(y-4)²
 (x-1)²+(y-4)² = 18 
from equatoin (1)  y-4 = 1-x
∴(x-1)²+(1-x)² = 18            ⇒⇒⇒⇒⇒ note: (1-x)² = (x-1)²
2 (x-1)² = 18
(x-1)² = 9
x-1 = 

∴ x = 4 or x = -2
∴ y = 1 or y = 7
Point_3 = (4,1)  or  (-2,7)
 
        
        
        
A student might be proud if he or she memorized a famous speech because it might mean a lot to them in a way. Memorizing a famous speech can have an impact on you and your life. That’s why there are famous speeches for a reason. 
Hoped I help, plz mark as brainliest. If you can. :)
 
        
             
        
        
        
Answer:
y = (1/2)x - 3
Step-by-step explanation:
slope-intercept form: y =mx + b
m - slope,
b - y - intercept.
m = 1/2
b= - 3
y = (1/2)x - 3
 
        
             
        
        
        
Slope =(-3 + 1)/(-5 - 1) = -2/-6 = 1/3
answer
1/3
        
             
        
        
        
Answer:
2/5 = 4/10
4/10 = 40%
Explanation:
2/5 is a simplified fraction, and one of the bigger fractions it’s made by 4/10. Do you can use 4/10, but can also use 8/20, 20/50, 40/100, so on. Since we know that any fraction that of ten can be turned into a percentage easily (2/10=20%, 5/10=50%,9/10=%90), then 4/10 is equal to 40%. So 40% of the people in Jeremiah’s class are boys.