Answer:
Step-by-step explanation:
use the equation: y =50x-350 where x is the number of hours driving
hrs
1 50 300
2 100 250
3 150 200
5 250 100
7 350 0
Equation of a line is in the form y = mx+c, where m is the gradient and c is the y-intercept.
First step is to find the gradient.
m = (y2-y1)/(x2-x1)
= ( 5- -8)/(8-4) = 13/4
We have y = (13/4)x + c
Now we replace one of the coordinates to find c. Let’s replace (4,-8)
We have: -8 = (13/4)*4 + c
-8=13+c
c=-8-13= -21
Therefore, equation of line is:
y = (13/4)x - 21
A larger interval is wider than a smaller interval.
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get
The required equation of the quadratic function is where, a is a constant.
Putting a=1, we get
![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)
Therefore, the required quadratic function is .
Answer:
The value of the slope is 6
Step-by-step explanation:
To get the slope of the line, we are going to make use of the slope equation
Mathematically, we have this as;
m = (y2-y1)/(x2-x1)
where (x1,y1) = (1,2) and (x2,y2) = (2,8)
Substituting these values;
m = (8-2)/(2-1) = 6/1 = 6
