Answer:
-1
Step-by-step explanation:
For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:
Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).
Solving for slope:
Hence, the slope of the line joining the given points is <u>-1.</u>
Simple.....
you have:
-3ab--->> a=-2 b=-5
Or-->>
-3(-2)(-5)
Simplify....
-3(10)
-30
Thus, your answer.
The position of the 7 is in the ten thousandths place.
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.