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
Hi,
The answer is 3/2 or 4
How I got my answer:
Just think that (2x+3) OR (x-4) has to be 0.
<span>
Than you can find it out with a simple +/- calculation. </span>
<span> 2x+3=0 x-4=0
x=-3/2 or 4</span>Hope this helps you.
Answers:
- Translation 3 units up
- k = 3
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Explanation:
The y intercept of the black f(x) curve is at (0,1)
The y intercept of the blue curve is at (0,4)
To go from y = 1 to y = 4, we add 3
So we shift 3 units up to go from the f(x) curve to the g(x) curve.
The value of k is 3, which corresponds exactly to the vertical shift. If we shifted down, then k would be negative.
Answer:
8/9 (simplified)
Step-by-step explanation:
Total marbles = 18
Total of marbles <em>not</em> white = 16
Numerator = 16 / Denominator = 18
= 16/18
= 8/9 (simplified)
Answer:
x+y/4 = 1/2
x-3y/3 = 2
move variables to one side:
multiply the first equation by 4 to get: x+y =2
and the second equation by 3 to get: x-3y =6
then subtract the equations to cancel out x:
x+y = 2
- x-3y = 6
then u get
y--3y = 2-6
4y = -4
y=-1
substitute to solve for x:
x-1 / 4 =1/2
x-1 = 2
x=3
check:
3+-1
2/4= 1/2
correct!!!
