Answer:
y - 6 = - 7(x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (5, - 8)
m =
=
= - 7
Use either of the 2 points for (a, b)
Using (3, 6), then
y - 6 = - 7(x - 3) ← in point- slope form
Your goal is to isolate the x variable, so all you have to do here is subtract 6 on both sides.
Your final answer is x ≤ 2.
Hope this helps a lot! :)
Answer:
Option D, 1
Step-by-step explanation:
<u>Step 1: Determine what x1, x2, y1, y2 are</u>
Slope = 
(x1, y1) is (2, 8)
(x2, y2) is (6, 12)
<u>Step 2: Plug into the formula to get the slope</u>
Slope = 
Slope = 
Slope = 
<em>Slope = 1</em>
<em />
Answer: Option D, 1
Answer:
{2, 6, 14}
Step-by-step explanation:
Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.
To get the range, we will substitute the values of the domain into the given function as shown;
when x = -1
f(-1) = 4(-1)+6
f(-1) = -4+6
f(-1) = 2
when x = 0
f(0) = 4(0)+6
f(0) = 0+6
f(0) = 6
when x = 2
f(2) = 4(2)+6
f(2) = 8+6
f(2) = 14
Hence the required range are {2, 6, 14}
The equation of the regression line is : Ŷ = 0.8571+0.8878X
Given the set of points :
(1, 2), (4,4), (9,9)
X axis : ___ Y axis
1 ___________2
1 ___________2 4 __________ 4
1 ___________2 4 __________ 4 9 __________ 9
The regression line associated could be obtained using technology such as excel, linear regression solvers or a graphing calculator.
Using technology :
Input the values of X and Y into their appropriate column and plot :
The regression equation obtained is :
Ŷ = 0.8571 + 0.8878X
Where :
Ŷ = predicted value of Y(dependent variable)
X = Independent variable
Slope = 0.8878
Intercept = 0.8571
The regression plot is attached below
Learn more : brainly.com/question/18405415?referrer=searchResults