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Given:
Point B has coordinates (4,1).
The x-coordinate of point A is -4.
The distance between point A and point B is 10 units.
To find:
The possible coordinates of point A.
Solution:
Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).
Distance formula:
The distance between point A and point B is 10 units.
Taking square on both sides, we get
Taking square root on both sides, we get
and
and
Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).
Solve -3^-5.
Knowing that
, then 
That means that x = -243.
Knowing that
That means that x = -243.
<h3>Answer ↓</h3>
y=-2x+5
<h3>Calculations ↓</h3>First of all we need to determine the slope of the line perpendicular to y = 1/2x - 5 .
The slopes of perpendicular lines are opposite reciprocals.
So we take 1/2 , turn it over , and change it's sign :
The slope of the line perpendicular to y = 1/2x-5 is -2 .
Since we're also given a point that the line crosses , we can write the line's equation in point - slope form :
y-y₁=m(x-x₁)
y-7=-2(x-(-1)
y-7=-2(x+1)
Now convert to slope intercept :
y-7=-2x-2
add 7 on both sides :
<h3>y = -2x+5</h3>