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First, make sure you understand what the x and y intercepts mean.
When the line intersects or hits the y axis, x must be zero. Just look at the graph to see that.
So if y=4x-14 and we want the y intercept, set x=0, that is to say solve
y=14(0)-14.
Next, for the x intercept, y must be zero.
So solve 0=4x-14.. So solve 14=4x.
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