The slope of the line is calculated by finding the difference in the y-coordinates divided by the difference in the x-coordinates. In this case, the slope is (1 - -5)/(9 - -9) = 6/18 = 1/3.
To determine which equation results in a system of equations with exactly one solution, we need to find an equation with the same slope.
From the given options, the equation with the same slope of 1/3 is option B: 3x - 9y = 9.
Hence, the answer is B. 3x - 9y = 9.
Multiple Choice Question
A linear equation is graphed on the coordinate grid below.
The graph shows a coordinate grid with a straight line that passes through the points (negative 9, negative 5), (negative 6, negative 4) (negative 3, negative 3), (0, negative 2), (3, negative 1), (6, 0), and (9, 1).
When graphed on the same coordinate grid, which equation results in a system of equations with exactly one solution?
A. -2x+6y=-12
B. 3x-9y=9
C. x-3y=6
D. 9x-3y=6
1 answer