Answer:

Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. To find the line, convert the slope of q and substitute it with (6, -5) into point slope form.
y = 3x + 5 is q. It has a slope of 3. So p will have a slope of -1/3.

We are given a coordinate (4,16).
Where first coordinate is the value of x and second coordinate is the value of y for the function y=f(x).
We need to find the value of given point (4,16) for function y= 0.5f(x).
Here function f(x) is being multiplied by 0.5.
On multiplying 0.5 by y, it will effect the value of y only. It does not effect value of x . Because x value is still x. Only function f(x) is being multiplied by 0.5.
Therefore, y= 0.5f(4) = 0.5 * 16 = 8.
So, (4,8) is the point on the graph of y = 0.5f(x) corresponds to (4, 16).
The equation of the parallel line is y = –2x – 11.
Solution:
Given equation of the line is y = –2x – 5.
Slope of this line is
= –2
To write the equation parallel to this line and passes through (–4, –3).
<em>If two lines are parallel, then they have the same slope.</em>


<u>Point-slope formula:</u>

Substitute the given values in the formula, we get



Subtract 3 from both sides of the equation.


Hence the equation of the parallel line is y = –2x – 11.