Answer:
The correct answer is:
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
i.e.
Step-by-step explanation:
We have to find equivalent expression to :
Negative 2 and one-fourth divided by negative two-thirds
i.e.
We have to convert the the mixed fraction form 
to simpler 
fraction form.
Let us learn the concept first.
Mixed fraction is combination of a whole number and a fraction.
Expression of the form 
have the following understanding:
c is the divider
b is the remainder and
a is the quotient.
To convert mixed fraction to fraction we can use the following:
Hence
i.e. the given expression is equivalent to :
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
Perpendicular lines have slopes that multiply to -1
y=mx+b
slope=m
y=5x+3
5=slope
5 times what=-1
divide both sides by 5
what=-1/5
the equation of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
m=-1/5
point=(-1,-1)
y-(-1)=-1/5(x-(-1))
y+1=-1/5(x+1)
y+1=-1/5x-1/5
y=-1/5x-6/5
1/5x+y=-6/5
x+5y=-6
the euation is
y+1=-1/5(x+1) or
y=-1/5x-6/5 or
x+5y=-6 (all same equation but different forms)
Answer:
To use the elimination method one coefficient of either x or y must be the same number with opposite signs, so the ordered pair is (-10, -8)
Step-by-step explanation:
2(-x+y=2) Make one of the coefficients equal, with opposite signs.
2x-3y=4 Combine equations.
-y=8 Solve, y=-8
Then find x, -x-8=2
-x=10, so x= -10
(-10, -8) is your answer.
Answer:
y = - 
x - 5
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 2x + 3 is in this form with slope m = 2
given a line with slope m then the slope of a line perpendicular to it is
= - 
= -
y = - x + c ← is the partial equation
To find c substitute (- 2, - 4) into the partial equation
- 4 = 1 + c ⇒ c = - 4 - 1 = - 5
y = - x - 5 ← equation of perpendicular line
