Answer:
2
Step-by-step explanation:
Slope formula is the difference of the y values divided by the difference of x values. Choose to points. I chose (-2,-1) and (0,3). 3-(-1) is equal to 4. 0-(-2) is equal to 2. 4 divided by 2 is two.
The true statement is (c) No; the slopes of segment EF and segment DF are not opposite reciprocals.
<h3>
Right triangles </h3>
Right triangles have a pair of perpendicular lines
Coordinates
The coordinates are given as:
- D = (-2,-1)
- E = (-2,2)
- F = (0,0)
<h3>Slopes</h3>
Start by calculating the slopes of lines DF and EF using:

So, we have:


Also, we have:



For the triangle to be a right triangle, then the calculated slopes must be opposite reciprocals.
i.e.

By comparison, the slopes of both lines are not opposite reciprocals.
Hence, the true statement is (c)
Read more about right triangles at:
brainly.com/question/17972372
Answer:
There is no solution of the system of equations.
Step-by-step explanation:
We are given two equations y = - 4 and y = 4 and are to find the solution to the equations.
Now, the straight line y = - 4 is parallel to the x-axis as the equation of straight lines that are parallel to the x-axis are given by y = c, where c is any constant value.
Again, the straight line y = 4 is parallel to the x-axis.
Therefore, y = - 4 and y = 4 two lines are parallel to each other and we know, parallel lines never intersect and hence there is no solution of the system of equations. (Answer)
Answer:
y = 4x + 3
Step-by-step explanation:
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 = 
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (0, 3)
m =
=
= 4
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 4x + 3 ← equation of line
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Coordinate Planes
<u>Algebra II</u>
Distance Formula: 
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
Point (-7, 1)
Point (-7, -5)
<u>Step 2: Find distance </u><u><em>d</em></u>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.
- Substitute in points [Distance Formula]:

- [Order of Operations] Evaluate:
