Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
The first step is to find the slope using the provided coordinates (-2, 6) and (2, 14). We can do that using the y1 - y2 / x1 - x2, like so:
6 - 14 / -2 - 2
-8 / -4
2
The slope is two, so we immediately know the answer is either A or B.
Now, plot the two points on graphing paper and determine where the line intersects the y-axis to find the y-intercept...
My graph shows the line intersecting the y-axis at 10, therefore the correct answer is:
y = 2x + 10
Answer:
YES
NO
NO
Step-by-step explanation:
The given polynomial is: 
(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.
To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.
∴ f(5) = 5³ + 4(5)² - 25(5) - 100
= 125 + 100 - 125 - 100
= 225 - 225
= 0
We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.
Now, to check (x + 2) is a factor.
i.e., to check x = - 2 satisfies f(x) or not.
f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100
= -8 + 16 + 50 - 100
= -108 + 66
≠ 0
Therefore, (x + 2) is not a factor of f(x).
To check (x - 4) is a factor.
∴ f(4) = 4³ + 4(4)² - 25(4) - 100
= 64 + 64 - 100 - 100
= 128 - 200
≠ 0
Therefore, (x - 4) is not a factor of f(x).
Hi,
The greatest common factor of 30 and 50 is 10.
Have a great day!
It is b: False 1,729 isn’t divisible by 9