y-y1=m(x-x1) where m is the slope, and (x1,y1) can be either one of the two points you are given. First, we need to find the slope m from the given points. Now put the point (2,3) in the point-slope equation along with the slope m to find the equation of the line between the two points.
Answer:
infinite solutions, true for all x
Step-by-step explanation:
-6 - 8x = -2(4x + 3)
Distribute
-6-8x =-8x-6
Add 8x to each side
-6-8x+8x = -8x-6+8x
-6 =-6
Since this is always true, the equation is true for all x
You can parameterize
using spherical coordinates by

with
and
.
Take the normal vector to
to be

(I use
to avoid negative signs. The orientation of the normal vector doesn't matter for a scalar surface integral; you could just as easily use
.)
Then

and the integral of
over
is


Answer: The equation is y=mx+b where m is the slope and b is the intercept, so for your problem slope is 3 and the intercept is -2
Step-by-step explanation: