Because anything multiplied by one is that number. If you have 3/4 one time, then it is 3/4.
You flip is when you mulitply the whole equation by a negative
not when you distribute a negative
if yo had
-3(x+4)>x
you wouldn't flip the negative symbol when distributing then -3
but if you had
-3(x+4)>-x
you would eventually have to multiply by -1 to make +1x
because they will be differente
exaple
12>3 is true
if yo multiply negative
-12>-3 is fale
-12<-3 is true
anothe rexample with placeholders
x<x+2
mulitply -1
-x>-x-2
false
-x<-x-2
true
that is why we flop the inequality symbole
Answer:
y=-100x+700
Step-by-step explanation:
Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100
So your slope would be m=-100
To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:
y=mx+b (Slope-intercept form)
y=-100x+b (Equation so far)
200=-100(5)+b [Plugging in (5,200)]
200=-500+b
700=b
So since the y-intercept is b=700, then the equation of the line is y=-100x+700