The equations that could represent the graph shown are:
A. -4x + 2y = -6
C. y = 3x - 2
How to Determine the Equation of a Graph?
The equation of a linear graph, in slope-intercept form, can be written as y = mx + b, where:
- b is the point on the y-axis that the line intercepts, which is called the y-intercept of the graph.
- m is the slope of the graph, which is the rise/run along the line.
Given the graph in the diagram, it would have a positive slope and a negative y-intercept.
A. -4x + 2y = -6
Rewrite in slope-intercept form
2y = 4x - 6
y = 4x/2 - 6/2
y = 2x - 3 [positive slope and negative y-intercept]
B. 2x - 3y = -9
Rewrite in slope-intercept form
-3y = -2x - 9
y = 2/3x + 3 [positive slope and positive y-intercept]
C. y = 3x - 2 [positive slope and negative y-intercept]
D. y = -10 is a horizontal line.
Therefore, the equations that could represent the graph shown are:
A. -4x + 2y = -6
C. y = 3x - 2
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