Answer:

Step-by-step explanation:
we know that
If two lines are parallel then their slopes are equal
The equation of the given line is

the slope is 
so
the slope of the parallel line to the given line is also 
Find the equation of the line that is parallel to the given line and passes through the point (6, 5)
we have


The equation of the line in point slope form is

substitute

Convert to slope intercept form

isolate the variable y



8505. You would do 63 times 135 to get 8505
Answer:
y=6x+1
Step-by-step explanation:
First you must find the slope of the two points...
which then would equal 6
Then you take the slope and put into point-slope form
(y-y1)=m(x-x1)...take one of the points that is given and plug it into this formula.
so I used (-3,19).
(y-19)=6(x--3)
I would then get y-19=6x+18
Add 19 to both sides and you will get y=6x+1
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx
so
That means it's the equation of a line passing through the origin.
case a) and case d) are discarded because the line does not pass through the origin
<u>case b) we have</u>
for x=2 y=4
y/x=k-------> 4/2=2------> k=2
y=2x-------> in this case the value of y is two times the value of x
<u>case c) we have</u>
for x=4 y=2
y/x=k-------> 2/4=1/2------> k=(1/2)
y=(1/2)x-------> in this case the value of y is one-half of the value of x
therefore
the solution is the case c) see the attached figure
Answer:
perimeter = 6x + 15
Step-by-step explanation:
The perimeter of the triangle is the distance around the triangle.
We need to apply our ability to convert word problems in to mathematical expressions.
We were told that the bottom of the triangle is x units.
From the diagram perimeter 4x + 12 + x + 3 + x = 6x + 15
Four times the length of the bottom will be 4x .
12 more than 4 times the bottom will be 4x + 12.
Hence another side of the triangle is 4x + 12.
Finally we were told that the last side is 3 more than the bottom, that will be x + 3.