The graph that represents the linear equation, 24x + 64y = 384 is shown in the diagram.
A linear equation can be expressed as y = mx + b, which is the slope-intercept form where the slope is represented as m and the y-intercept is represented by b. This y-intercept is the point where the line intercepts the y-axis when x is equal to zero.
Given the linear equation, 24x + 64y = 384, rewrite in slope-intercept form to easily figure out the slope:
24x + 64y = 384
64y = -24x + 384
y = -24x/64 + 384/64
y = -6/16x + 6
This shows that the graph would have a y-coordinate, b = 6, while the slope is -6/16. The graph would be the one shown below in the diagram.
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