Answer:
y = 2x -33
Step-by-step explanation:
The line segment from the center (6, 4) to the given point (16, -1) is a radius of the circle. It is perpendicular to the tangent. Hence you need to write the equation of a line through point (16, -1) that is perpendicular to the line through that point and (6, 4).
The slope of the radius is ...
... ∆y/∆x = (-1-4)/(16-6) = -5/10 = -1/2
The slope of the tangent is the negative reciprocal of that, so is ...
... m = -1/(-1/2) = 2
In point-slope form, the tangent line through (16, -1) is
... y = m(x -h) +k
... y = 2(x -16) +(-1)
Simplifying, this is ...
... y = 2x -33
Answer:
A possible initial point is (1,4) and a possible terminal point is (8,5)
Step-by-step explanation:
The given vector is .
We can rewrite this vector as:
The x-components is 7 and the y-component is 1.
We can choose initial point (a,b) and terminal point (c,d) in the first quadrant such that and
If a=1, and b= 4, then:
and
This implies that:
and
Therefore a possible initial point is (1,4) and a possible terminal point is (8,5)