Answer:
Okay, so the slope, which we call 'c', tells us how steep a line is. Imagine it's like going up or down a hill. When we calculate the slope between two points on a line, we're actually finding out how much we're going up or down compared to how much we're moving horizontally.
Here's the cool part: the slope is the difference in how much we go up or down (the y-values) divided by how much we move left or right (the x-values). In our case, the y-values changed by -2 (which means they decreased because they're going down), and the x-values changed by 6.
When we put that into our slope formula, it looks like this: c = -2/6. And when we simplify that, we get c = -1/3.
So, because the y-values were going down and the line wasn't shooting straight up or down, but kinda leaning back a bit, our slope, which is 'c', turns out to be -1/3. It's like a gentle decline instead of a super steep drop!
Step-by-step explanation:
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