To find the function, we can try to find the slope intercept form of the table.
Let's use the points (1,-1) and (2,-3) to find the slope.
Slope formula: rise/run
(-3 - - 1)/(2 - 1) = -2/1 = -2
Slope = -2x
Y-intercept = 1
y = -2x + 1
We can plug in a coordinate to check.
Let's use (2,-3).
-3 = 2x + b
Plug in the slope.
-3 = 2(-2) + b
-3 = -4 + b
4 + -3 = 1
b = 1
Therefore, the answer is f(x) = negative 2x + 1.
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have the following equation:
Algebraically manipulating we have:
Thus, the slope of the line is
Answer:
The slope of the line is
The average rate of change of on the interval [a,b] is:
f(b)−f(a)/ b-a
or
y1-y2/x1-x2 which is how I learned it, average ratw of change is just slope
so you would plug your numbers into x
1st the b: 6((1))^2+31((1))-12
=6+31-12 1^2=1, so it cancels
f(b) =25
2nd the a: 6((-2))^2+31((-2))-12
=6(4)+31(-2)-12
=24+-62-12
f(a) =-50
3rd plug them in: (25- -50)÷(1-(-2)
=75÷3
=25
so your average rate of change(or slope) is 25 :)
Answer:
x = 3, y = 3
Step-by-step explanation:
Elimination method to find x:
(7x + 3y = 30) * -1 ===> -7x - 3y = -30
-2x + 3y = 3
add two equations to eliminate y ______________
-9x = -27 ===> x = 3
substitution to find y:
-2x + 3y = 3
-2(3) + 3y = 3
-6 + 3y = 3
3y = 9
y = 3
Elimination method to find y:
(7x + 3y = 30) * 2 ===> 14x + 6y = 60
(-2x + 3y = 3) * 7 ===> -14x + 21y = 21
add two equations to eliminate x ______________
27y = 81 ===> y = 3