Answer:
Step-by-step explanation:
A 180 degree rotation around the origin would be the same things as a reflection across the x-axis followed by a reflection across the y-axis.
This would result in the new location being (-3, -2) The x coordinate is -3.
Answer:
Y=3x+2, Y= -3x-2
Step-by-step explanation:
If you need a consistent (parallel) line you must have very similar equations, with only positives and negatives being changed. If it's Y=3x+2, only the 2 is changed from negative to positive changing the lines position. If it's Y= -3x-2 then the X value is moved to a different coordinate and the -2 keeps the change.
Hope this helps and please critique what I've done if im wrong.
Inverse variation is of the form:
y=k/x, which we can express as:
yx=k we are given the point (2/3, 7) so we can solve for k
7(2/3)=k
14/3=k
y=14/(3x), so when x=7/3
y=(14/3)/(7/3)
y=(14/3)(3/7)
y=2
Answer:
x is 11
Step-by-step explanation:
We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)
Substitute the numbers into the equation
y--4=3/4(x-3)
simplify
y+4=3/4(x-3)
do the distributive property
y+4=3/4x-9/4
subtract 4 from both sides
y=3/4x-25/4
this is the equation of the line.
Since it says that (x,2) is a point in the equation, we can substitute it into the equation
2=3/4x-25/4
add 25/4 to both sides
33/4=3/4x
multiply by 4/3
11=x
we can double check by plugging (11,2) into the equation of the line.
2=3/4(11)-25/4
2=33/4-25/4
2=2
it works! :)
Hope this helps!
