The graph plots four equations, a, b, c, and d: line a joins ordered pair negative 6, 16 and 9, negative 4. line b joins ordered pair negative 2, 20 and 8, 0. line c joins ordered pair negative 7, negative 6 and 6, 20. line d joins ordered pair 7, 20 and 0, negative 7. which pair of equations has (4, 8) as its solution? equation a and equation c equation b and equation c equation c and equation d equation b and equation d'

Option D : Equation B and Equation D.

Step-by-step explanation:

We are given that four equations A,B,C and D

The equation of a line which passing through the two points and is given by

Using this formula we obtain the equation of line A ,B,C and D

The line A which passing through the points (-6,16) and (9,-4) is given by

Where

The equation of line A is given by

The equation of line A is given by

Denominator on both side divided by 5

The equation of line A is given by

The equation of line A is given by

The equation of  line A is given by

The equation of line B which passing through the points (-2,20) and (8,0) is given by

Where

The equation of line B is given by

The equation of line B is given by

The equation of line B is given by

The equation of a line B which passing through the points (-2,20) and (8,0) is given by

The equation of line C which passing through the points (-7,-6) and (6,20) is given by

where

The equation of a line C is given by

The equation of a line C is given by

The equation of line C which passing through the points (-7,-6) and (6,20) is given by

The equation of a line D which passing through the points (7,20) and (0,-7) is given by

Where

The equation of a line D is given by

The equation of line D is given by

Using cross multiply method

The equation of a line D is given by

The equation of a line D which passing through the points (7,20) and (0.-7) is given by

From graph we can see line B and D are intersect at point (4,8).Therefore, the solution of equation B and equation D is (4,8).

Hence, option D is correct.

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step-by-step explanation: