What are the slope and why intercept shown on the graph below

Hello!

Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:



The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:



Simplify:







The slope is .

Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.

I hope this helps!

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