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
Answer:
y = 27
Step-by-step explanation:
y/3 + 2 = 11
First subtract 2 from each side
y/3 + 2-2 = 11-2
y/3 = 9
Then multiply each side by 3
y/3 *3 = 9*3
y = 27
Substitute x=0
5y=-30
y=-6 is the y intercept
8• (5+x) < 56
That is the equation
Answer:
The graph is the 4th picture
Step-by-step explanation:
When graphing, you take the opposite if there is a number in the absolute value bars. If there is, then you will be going towards the x axis. If there is a number outside of the absolute value bars, assume that this will be the y axis
