AThe slope of a line is the ratio of the vertical change to the horizontal change.
BWhat happens with the rise and run?
A0.65
BThe slope increases because the vertical distance for the main portion of the slide increases and the horizontal distance does not change.
Practice makes perfect
We are given the measures of a slide.
The top and the bottom of the slide are level with the ground, so the slope there is equal to 0. To find the slope of the main portion of the slide, we will recall that the slope of a line is the ratio of the vertical change to the horizontal change.
m=Change iny/Change inxIn our case, the change in y is equal to the difference between the distance from the ground to the top of the slide and the total height of the slide. Before calculating the difference, we need to convert inches to feet by diving the value in inches by 12.
Now that we have all the values in feet, we can calculate the difference.
Change in y = 8-1.5= 6.5
To find the change in x, we will draw a sketch of the slide. Let's do it!
Note that the change in x will be the difference between 12 feet and the sum of the flat portions of the slide.
Change in x = 12-(1+1)= 10
Finally, we can substitute these values into the formula for the slope.
The slope of the main portion of the slide is equal to 0.65.
We can describe the change in the slope when the bottom of the slide is only 12 inches above the ground. To do so, remember the formula of the slope.
m=Change iny/Change inx
In this case, the change in y will be equal to the difference between 8 feet and 12 inches. Before calculating the difference, we need to convert inches to feet by dividing the value in inches by 12.
Now, let's calculate the change in y.
Change iny= 8 -1 =7 ft
Note that the run stays the same. This means that the
the change in x will be 10 feet. Let's calculate the slope with this values!
