Answer:
Here,

substituting the value of 4y in eqn i fron eqn ii
so eqn i becomes

So

Thus,

...hope this helps:)
Answer:
slope=9
Step-by-step explanation:
the slope is 9, because you do the y/x or rise over run, so you do for every 9 up 1 right to get a slope of 9/1 or 9
Answer:
d. H0: melanoma mortality rate is not linearly related to latitude
Ha: melanoma mortality rate is linearly related to latitude
Step-by-step explanation:
The linear regression equation is
y=α+βx where α=intercept and β=slope.
β=slope demonstrates the change in dependent variable due to unit change in independent variable.
If the slope is zero then we can say that Y and X are not linearly related.
Thus, the hypothesis for testing significance of linear relationship two variables can be written as
Null hypothesis: The two variables are not linearly related i.e. β=0
Alternative hypothesis : The two variables are linearly related i.e. β≠0.
Thus, in the given scenario the hypothesis are
H0: melanoma mortality rate is not linearly related to latitude
Ha: melanoma mortality rate is linearly related to latitude.
A)
SLOPE OF f(x)
To find the slope of f(x) we pick two points on the function and use the slope formula. Each point can be written (x, f(x) ) so we are given three points in the table. These are: (-1, -3) , (0,0) and (1,3). We can also refer to the points as (x,y). We call one of the points

and another

. It doesn't matter which two points we use, we will always get the same slope. I suggest we use (0,0) as one of the points since zeros are easy to work with.
Let's pick as follows:


The slope formula is:
We now substitute the values we got from the points to obtain.

The slope of f(x) = 3
SLOPE OF g(x)
The equation of a line is y=mx+b where m is the slope and b is the y intercept. Since g(x) is given in this form, the number in front of the x is the slope and the number by itself is the y-intercept.
That is, since g(x)=7x+2 the slope is 7 and the y-intercept is 2.
The slope of g(x) = 2
B)
Y-INTERCEPT OF g(x)
From the work in part a we know the y-intercept of g(x) is 2.
Y-INTERCEPT OF f(x)
The y-intercept is the y-coordinate of the point where the line crosses the y-axis. This point will always have an x-coordinate of 0 which is why we need only identify the y-coordinate. Since you are given the point (0,0) which has an x-coordinate of 0 this must be the point where the line crosses the y-axis. Since the point also has a y-coordinate of 0, it's y-intercept is 0
So the function g(x) has the greater y-intercept