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
Explanation:
Starting with the first option, the square root of 12 and 8 isn’t a perfect square so it definitely can’t be reduced to 3/2.
It is the same for the second option as well.
Third option :
Root of 36 is 6
Root of 16 is 4
6/4 = 3/2
Fourth option:
Root of 81 is 9
Root of 36 is 6
9/6 = 3/2
Answer:
Therefore, the third and fourth options are the correct choices.
Hope this helped!
Answer:
29.5788
Step-by-step explanation:
Multiply all of the terms together
Answer:
a is 60 b is 48
Step-by-step explanation:and i will get the rest to you when i am done
8X + 8 > 7x + 14
subtract 7x and 8 from both sides
x > 6
