What is the slope of the function represented by the given figure?
Slope is the vertical change divided by the horizontal change. Vertical change is how much we had to move up and down. And horizontal change is how much we had to move left and right. So vertically going up is positive. Going down is negative. Horizontally going left is negative. And going right is positive.
So let’s pick two points that we actually go through: negative five, zero and zero, five. So if we look at this line left to right, how much did we change vertically? We had to go up five.
And then horizontally, we had to go right five. So we have five over five. Now, we always need to reduce. So we get one. Therefore the slope of this function is one, which could also be written as one over one.