Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?
NeX [460]
Answer:
The function is 
.
The slope is 
.
The y-intercept is 
.
Step-by-step explanation:
Our aim is to calculate the values <em>m</em> (slope) and <em>b</em> (y-intercept) in the equation of a line :
We have the following data:
To find the line of best fit for the points given, you must:
Step 1: Find 
and 
as it was done in the table below.
Step 2: Find the sum of every column:
Step 3: Use the following equations to find <em>b</em> and <em>m</em>:
Step 4: Assemble the equation of a line
The graph of the regression line is:
Answer:
24m-28
Step-by-step explanation:
(6m-7)x4
24m-28
Answer:
20 years
Step-by-step explanation:
20 is the lowest common multiple of 5,4,2
The slope of f(x) is 10 and the slope of g(x) is 5; g(x) has the greater y-intercept.
To find the slope of f(x), we use the slope formula: m=(y₂-y₁)/(x₂-x₁) = (-1--11)/(0--1) = (-1+11)/(0+1) = 10/1 = 10.
To find the slope of g(x), we just look at the form it is in. It is written in slope-intercept form, y=mx+b, where m is the slope. The number in g(x) that would correspond to m is 5.
The y-intercept of f(x) is found by looking at the points. Any y-intercept will have an x-coordinate of 0; the only point like this in the table is (0, -1) so the y-intercept is -1.
For g(x), we again look at the form y=mx+b. The number that corresponds with b is the y-intercept; in this case, it is 1. 1>-1, so g(x) has the larger y-intercept.
