Answer:
equation of line is:
y = -2x - 6
Explanation:
The general form of the line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept
(a) getting the slope of the line:
slope of the line is calculated using the following rule:
slope of line (m) = (y2-y1) / (x2-x1) = (-24--12) / (9-3) = -2
The equation now becomes:
y = -2x + c
(b) getting the y-intercept:
The two given points belong to the line. Therefore, to get the y-intercept, we will use one of the points and substitute in the equation and solve for c.
I will use the point (3,-12)
y = mx + c
-12 = -2(3) + c
-12 = -6 + c
c = -12 + 6
c = -6
Based on the above, the equation of the line is:
y = -2x - 6
Hope this helps :)
Answer:
b. For 100 additional burglaries in California one expects to see an increase of about 3 burglaries in Hawaii.
Step-by-step explanation:
The slope gives the increase in the independent variable per unit increase in the dependent variable. Hence, a reasonable interpretation for the slope would be ;
the rate of change in the number of burglaries in Hawaii per 100 unit change in number of burglaries in California is 3.
Hence, for 100 additional burglaries in California, the rate of change in the number of burglaries in Hawaii is 3.
Answer:
16 is the range
Step-by-step explanation:
First, arrange the numbers from least to greatest.
21, 25, 25, 26, 28, 37
Then, subtract 21 (smallest number) from the 37 (biggest number).
37 - 21 = 16
So, the range is 16
Have a wonderful day!
Answer:
Step-by-step explanation:
1 × 5 = 5
(- 2) × (- 3) = 6
4 × (- 6) = - 24
I hope I've helped you.
