Passes through (3, 4) and (5, -4) how do I solve
1 answer:
Answer:
y = - 4x + 16
Step-by-step explanation:
Assuming you require the equation of the line passing through the points.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 4) and (x₂, y₂ ) = (5, - 4)
m = =
= - 4, thus
y = - 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 4), then
4 = - 12 + c ⇒ c = 4 + 12 = 16
y = - 4x + 16 ← equation of line
You might be interested in
Answer:
For the student who is studying 10 hours a week is in the 57.93th percentile.
Step-by-step explanation:
Corresponding z-score for the student who studies 10 hours a week can be calculated by the formula
z= where
- x is the hours student work in a week, which is 10,
- M is the mean studying hour of the class, which is 9.92,
- s is the standart deviation which is 4.54
from here we find that z=≈0.2
Corresponding percentile for z=0.2 is 57.93
Answer:
Point D:
<em>d</em> = √41
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
<u>Pre-Calculus</u>
- Midpoint Formula [3D]:
- Distance Formula [3D]:
Step-by-step explanation:
<u>Step 1: Define</u>
Point A(1, 2, -1)
Point B(-3, -6, 2)
Point C(3, -2, 0)
<u>Step 2: Find Point D</u>
Simply plug in your coordinates B and C into the midpoint formula to find midpoint
- Substitute [MF]:
- Add/Subtract:
- Divide:
<u>Step 3: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates A and D into the distance formula to find distance <em>d</em>
- Substitute [DF]:
- Subtract/Add:
- Exponents:
- Add: