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 (2, 12) as its solution?

equation a and equation c
equation b and equation c
equation c and equation d
equation b and equation d

Option B is correct. The pair of equations that has (2, 12) as its solution is lines B and C

The standard form of an equation is y = mx + b where:

m is the slope

b is the y-intercept

For line B with coordinate (-2, 20) and (8, 0)

Get the slope of the line:

Get the y-intercept

0 = -2(8) + b

b = 16

The required equation is y = -2x + 16

To check if (2, 12) is a solution, substitute x = 2 to check if we are going to have 12 as the y value.

y = -2(2)+16

y=-4+16

y = 12

This shows that the equation with coordinates (-2, 20) and (8, 0) has a solution of (2, 12).

For line C with coordinate (-7, -6) and (6, 20)

Get the slope of the line:

Get the y-intercept

20 = 2(6) + b

b = 20-12

b = 8

The required equation is y = 2x + 8

To check if (2, 12) is a solution, substitute x = 2 to check if we are going to have 12 as the y value.

y = 2(2)+8

y=-4+8

y = 12

This shows that the equation with coordinates (-7, -6) and (6, 20) has a solution of (2, 12).

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