A triangle is isosceles is the altitude from the vertex angle to the base also passes through the midpoint of the base. What are the two slopes from the figure that prove this? M is the midpoint of triangle ABC.

-7 and 1/7

5 and -1/5

-5 and 1/5

7 and -1/7

The answer to your question is  7 and -1/7

Step-by-step explanation:

Data

First line                        Second line

B (4, 4)                            A (0, 1)

M (3.5, 0.5)                     C (7, 0)

Formula

Slope = m = (y2 - y1) / (x2 - x1)

Process

1.- Calculate the slope of the first-line

    x1 = 4        y1 = 4

    x2 = 3.5    y2 = 0.5

-Substitution

    m = (0.5 - 4) / (3.5 - 4)

-Simplification

     m = -3.5 / -0.5

-Result

     m = 7

2.- Calculate the slope of the second line

    x1 = 0          y1 = 1

    x2 = 7         y2 = 0

-Substitution

   m = (0 - 1) / (7 - 0)

-Simplification

   m = -1/7

-Result

   m = -1/7  

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer