Answer:
y=2x+1
Step-by-step explanation:
Since we are given a point and a slope, we can use the point slope formula
m is the slope. In this case, m is 2.
y1 is the y coordinate of the point given. y1 is 3.
x1 is the x coordinate of the point given. x1 is 1
y-3=2(x-1)
Now, we need to get the equation into point slope form: y=mx+b
To do this, we need to get y by itself
First, distribute the 2 on the right
y-3=2*x+ 2*-1
y-3=2x-2
Add 3 to both sides
y-3+3=2x-2+3
y=2x+1
The equation is in y=mx+b form, so our final equation is:
y=2x+1
The answer is (4, 3). Hope this helps!
Answer:
100*25
Step-by-step explanation:
sum of 25=25
The bottom left option is when it is reflected over the x axis, the second to last option on the left is when it is reflected of the y axis, and the middle option is when it is reflected over the line y = x
Hope this helps :)
Let 
. The tangent plane to the surface at (0, 0, 8) is
The gradient is
so the tangent plane's equation is
The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by 
, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation
or 
, 
, and 
.
(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)
