Answer:
y = 2x - 3
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 )
Here m = 2, thus
y = 2x + c ← is the partial equation of the line
To find c substitute (2, 1) into the partial equation
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = 2x - 3 ← equation of line
answer: (-6,6) that's youre answer
Given:
Four equations in the options.
To find:
The equation which represents a proportional relationship.
Solution:
If y is proportional to x, then
![y\propto x](https://tex.z-dn.net/?f=y%5Cpropto%20x)
![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
where, k is the constant of proportionality.
In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.
From the given options, only option B, i.e.,
, is of the
, where,
.
So, the equation
represents a proportional relationship.
Therefore, the correct option is B.
Answer:
![x = 11](https://tex.z-dn.net/?f=x%20%3D%2011)
Step-by-step explanation:
Given
Parallel lines A and B
Required
Find x
For A and B to be parallel, then 5x + 9 and 6x - 2 are alternate interior angles
And alternate interior angles are always equal
This means that
![5x + 9 = 6x - 2](https://tex.z-dn.net/?f=5x%20%2B%209%20%3D%206x%20-%202)
Collect like terms
![5x - 6x = -2 -9](https://tex.z-dn.net/?f=5x%20-%206x%20%3D%20-2%20-9)
![-x = -11](https://tex.z-dn.net/?f=-x%20%3D%20-11)
Multiply both sides by -1
![-1 * -x = -11 * -1](https://tex.z-dn.net/?f=-1%20%2A%20-x%20%3D%20-11%20%2A%20-1)
![x = 11](https://tex.z-dn.net/?f=x%20%3D%2011)