Step-by-step explanation:
y = 9x - 7
When x = 8
y = 9.8 - 7
y = 72 - 7
y = 65
When x = 6
y = 9.6 - 7
y = 54 - 7
y = 47
When x = 7
y = 9.7 - 7
y = 63 - 7
y = 56
When x = -8
y = 9.(-8) - 7
y = -72 - 7
y = -79
When x = 4
y = 9.4 - 7
y = 36 - 7
y = 29

As we have to solve for b, it means we have to isolate b
So first of all subtract
from both sides
So we get

Now we need b , but its b^2 , so we can take square root on both sides.
taking square roots on both sides

Hence option B is correct
Answer:
Step-by-step explanation:
given a point
the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form
, the y intercept is b and the x intercept is
.
So, in our case, the y intercept is
and the x intercept is
.
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at
. Using the properties of derivatives, we get
. So evaluated at
we get 
Replacing the values in our previous findings we get that the y intercept is

The x intercept is

The triangle in consideration has height
and base
. So the area is

So regardless of the point we take on the graph, the area of the triangle is always 2.