Slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
Let's find m, the slope:
The formula for slope when using two points on a line is:
In this case...
^^^Plug these numbers into the formula for slope...

1
^^^This is your slope
So far this is our equation:
y = 1x + b OR y = x + b
Now let's find b, the y-intercept:
To do that you must plug in the point the line goes through in the x and y of the equation.
For this question I have chosen to plug in the point (-1, -5)
-5 = -1 + b
-5 + 1 = -1 + 1 + b
-4 = 0 + b
-4 = b
Your equation is:
y = x - 4
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
I think they are-
Step-by-step explanation:
I have never learned this so please don't put every single last bit of trust in me- But I believe they are congruent-
One way to approach this is to find (g o f)(x) first and then to replace x by -7:
g( f(x) ) = (x^2+6) + 8/(x^2+6)
Now replace x with -7. We get: ( g o f )(-7) = 49+6+8 / (49+6), or
= 55 + 8 / 55, or 55 8/55 (ans.)
Answer:
Mean value is 0 and standard deviation is 1 after all test scores have been standardized by converting them to z-scores using z
Step-by-step explanation:
In a standard normal distribution (also called as <em>Gaussian distribution</em>) all values of the sample can be projected to a normal distribution with mean 0 and standard deviation 1 using their z-scores.
z-score of a value X can be calculated as follows:
z=
where
- 50 is the <em>mean of the test scores</em>
- 6 is the <em>standard deviation of test scores</em>
Answer:

Step-by-step explanation:

Divide both sides by -3:

