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Let’s solve the equation
for
. Rearranging gives us
, and divising by 2, we find
. This is a linear equation, which means it represents a straight line on a graph, where the y-intercept is 2 and the slope is -0.5.
Now, if we set
, then
; setting
would give
. So, the graph of this equation will cross the y-axis at (0, 2) and the x-axis at (4, 0), creating a visual representation of a line that slopes downward from left to right. Graphing helps visualize linear relationships!