Which graph best represents the equation y=−3x−2
?
CLEAR CHECK
(A)On a coordinate plane, a line goes through (0, 2) and (0.75, 0).
(B) On a coordinate plane, a line goes through (0, negative 2) and (0.75, 0).
(C) On a coordinate plane, a line goes through (negative 0.75, 0) and (0, negative 2).
The correct answer is (B) On a coordinate plane, a line goes through (0, negative 2) and (0.75, 0).
To determine the correct graph, we can start by comparing the slope of the equation (-3) to the slopes of the given options.
In option (A), the slope can be determined by using the formula:
slope = (change in y)/(change in x)
slope = (0 - 2)/(0.75 - 0)
slope = -2/0.75
slope = -8/3
The slope of option (A) does not match the slope of the equation (-3), so it is not the correct graph.
In option (C), the slope can be determined by using the formula:
slope = (change in y)/(change in x)
slope = (negative 2 - 0)/(0 - negative 0.75)
slope = -2/0.75
slope = -8/3
The slope of option (C) matches the slope of the equation (-3), so it could be a potential correct graph.
In option (B), the slope can be determined by using the formula:
slope = (change in y)/(change in x)
slope = (0 - negative 2)/(0.75 - 0)
slope = 2/0.75
slope = 8/3
The slope of option (B) matches the slope of the equation (-3), so it is the correct graph.
Therefore, the graph that best represents the equation y = -3x - 2 is option (B) On a coordinate plane, a line goes through (0, negative 2) and (0.75, 0).