Textbook ExpertVerified Tutor
15 Nov 2021
Given information
Given that, due to erosion, a river shoreline is losing several thousand pounds of soil each year. A linear equation that expresses the total amount of soil lost per year is y = 12,000x.
Then we have to identify the y-intercept and interpret its meaning.
Step-by-step explanation
Step 1.
The standard form of the linear equation is given by, y = a + bx where a is the y-intercept and b is the slope.
And it is given that y = 12,000x, where y-intercept a is 0 and the slope b=12,000
So, the y-intercept is zero. This means that there was no fixed amount of soil that was lost before erosion began, which makes sense because the river shoreline wouldn’t lose any soil if there were no erosion occurring.
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