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:
Step-by-step explanation:
counting money after shopping or depositing money
Answer:
2 9/10
Step-by-step explanation:
subtract the 1 mile from the 3 9/10 mile. kinda like 3-1 but then you put the other stuff on the end (9/10)
I'm pretty sure this is the correct answer
Answer:
Step-by-step explanation:
A triangle is isosceles if it has two equal sides and two equal angles.
From the diagram, the two perpendicular bisectors divides each base angle into 2 equal parts.
Since the 2 lines of the the perpendicular bisectors cuts across the midpoint of the triangle, it divides both lines JL and LK equally.
This means that lines JL and LK are equal.
Triangle JLK has 3 sides, JL, LK and JK.
Since lines JL and LK are equal, then
Triangle JLK is isosceles since it has two equal sides and 2 equal angles
