Segment ab the diameter of circle m. the coordinates of a are (-4,3). the coordinates of m (1,5) what are the coordinates of b
it’s number 4 but if you can answer all that would be even better

The correct answer is option 1)  (6,7)

Step-by-step explanation:

Points to remember

Mid point formula

Let (x₁, y₁) and (x₂, y₂) be the end points of a line segment, then the coordinates of the midpoint of the line segment is given by

[(x₁ + x₂)/2, (y₁ + y₂)/2]

To find the coordinates of B

Let A(x₁, y₁) =  (-4, 3), and M(1, 5)

Coordinates of B be (x₂, y₂)

We have,

[(x₁ + x₂)/2, (y₁ + y₂)/2] = (1, 5)

(x₁ + x₂)/2 = 1

(-4 + x₂)/2 = 1

-4 + x₂ = 2

x₂ = 2 + 4 = 6

(y₁ + y₂)/2 = 5

(3 + y₂)/2 = 5

3+ y₂ = 10

y₂ = 10 - 3 = 7

Therefore coordinates of B(6,7)

The correct answer is option 1)  (6,7)

There really aren't any steps. It's just a handy fact about Isosceles triangles.

An Isosceles triangle is a triangle that has two sides that are the same length,
and one of the facts about this kind of triangle is that the angles opposite the
two equal sides are equal angles.

In your picture, the two sides of the triangle that have tick marks across them
are equal lengths, and that means that the angles at 'S' and 'U' are equal angles.

In this kind of triangle, those are called the "base angles", even though they
don't necessarily have to be the angles that the triangle stands on.  They're
just the two angles that are opposite the two equal sides.