Answer:
The equation of the line would be y = -2x + 8
Step-by-step explanation:
In order to find this, we first need to find the slope of the original equation. We can do this by solving for y.
x - 2y = -6
-2y = -x - 6
y = 1/2x + 3
Now that we have a slope of 1/2, we know the new perpendicular line will have a slope of -2. We know this because perpendicular lines have opposite and reciprocal slopes. This means we flip it and change the sign. Now we can use this slope along with the point to find the equation.
y - y1 = m(x - x1)
y - 2 = -2(x - 3)
y - 2 = -2x + 6
y = -2x + 8
Answer:
B
Step-by-step explanation:
For this case we find the slopes of each of the lines:
The g line passes through the following points:

So, the slope is:

Line h passes through the following points:

So, the slope is:

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.
It is observed that lines g and h are not parallel. We verify if they are perpendicular:

Thus, the lines are perpendicular.
Answer:
The lines are perpendicular.
Answer:
The nth term is 3n+2.
The given sequence is in A.P.
Here,
First term,a= 5
Common difference,d= 3
Therefore the nth term = a+(n-1)d =5+(n-1)3
=5+3n-3 =3n+2.
Step-by-step explanation: