Hello,
The rate of change is the slope (rise/run, y/x). To find that, we use the equation (y2-y1) over (x2-x1). It means take the second "y" and subtract it from the first "y" and the same to "x". If I plug in the numbers, it would be (3-6) over (5-4), and after you subtract, the answer simplifies to: -3/ 1 which is -3. Yay! We got the slope (rate of change) done.
Now let's find the y-intercept by using the formula of point-slope form,
y-y1= m (slope) (x-x1). This is saying you "y" is subtracted from the first
"y" of the points which equals the slope (m) times the quantity of "x" subtracted by the first "x" of the points.
Let's plug the numbers in: y-6 = -3 (x-4). Let's distribute -3 to the parenthesis, and after that it should simplify to: y-6 = -3x + 12. To get "y" by itself, add 6 to both sides: y = -3x +18. We have finally found the slope-intercept equation for those two points (4,6) and (5,3). To then find the y-intercept in this equation, it would be the 18, because -3 is the slope, so that makes 18 the y-intercept.
In conclusion, the rate of change is -3 and the y-intercept is 18.
I hope this helps!
May
Step-by-step explanation:
Standard form means that a number is less than 10 and in the form 10^x.
Example: 4 x 10^1, 9.67 x 10^2 or 3 x 10^-5
Number of books = 42 / 5/8 (Note 3 1/2 feet = 42 ins.)
= 42 * 8/5 = 336 / 5 = 67.2
67 books will fit on the shelf.
96 fluid ounces < 13 cups
25 pounds > 384 ounces
8 yards = 288 inches
Have a nice day!
If
is left, that means
was spent. So
of the total amount is equal to 39.. Let's say x to the total amount.
