Answer:
3y+4x=5
Step-by-step explanation:
step 1
Find the slope
we have
(–7, 11) and (8, –9)
m=(-9-11)/(8+7)
m=-20/15
m=-4/3
step 2
Find the equation of the line into point slope form
we have
m=-4/3
point (-7,11)
substitute
y-11=-(4/3)(x+7) ----> equation of the line into point slope form
Multiply by 3 both sides
3y-33=-4(x+7)
3y-33=-4x-28
3y+4x=33-28
3y+4x=5 -----> equation of the line into standard form
(first step:
you must remember the following theorem :
Two lines whose slopes are m1 and m2, are perpendicular if and only if m1m2 = -1
(second step
you have one slope given and it is -2 then you substitute in the previous equation
(third step
m1*-2=-1⇒m1=-1/-2⇒m1= 1/2
it means that new slope of the equation is 1/2
(for step
with a given point and a the slope you can build the equation that is perpendicular to a line with slope -2
the equation point- slope is
y-y1=m(x-x1)
with any given point as (2,-5) substitute it in the previous equation
[y-(-5)]= 1/2(x-2)⇒ (y+5) = 1/2x-1/4⇒y-1/2x+5+1/4⇒y-1/2x+21/4 =0
(five step
you must look for the value of x in the following equation
y-1/2x+21/4 =0
where, y = 1/2X-21/4 and this is the equation that represents a line that is perpendicular to a line with slope -2
Answer:
his path
Step-by-step explanation:
In order to determine the total distance driven from one place to another, you need to know the path taken.
Well a debit card is the card that draws money directly out of your bank account, A credit is the money your going to have to pay back with interest so your best option would be B)