The recursive formula
means that the next term in the sequence is 5 more than the previous one.
So, we know that we start from
, which means that the next term is

Similarly,

Write as a multiplication sentence.
5/6 divided by 1 1/2
Remember that
1 1/2=1+1/2=3/2
so
y = m x + b is a linear equation.
This equation is in the slope - intercept form, where m is the slope and b is y - intercept.
For example: y = 2 x + 5
In this equation: m = 2 ( the slope ) and b = 5 ( the line intercepts y-axis at the point ( 0, 5 ) ).
<span>To check the quotient of a division problem, I would multiply the quotient by the divisor and add the remainder. If the quotient is correct, the result will be the dividend.
example is below
</span><span><span><span><span>x2</span>−x−6/</span><span>x−3</span></span>=<span><span>(x−3)(x+2)/</span><span>x−3</span></span>=x+2</span>
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.