Hi there!
We are given two ordered pairs which are:
If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).
1. Find the slope
- Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!
Since we have two given points, we can substitute them in the formula.
2. Form an equation.
- Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.
Where <u>m</u><u> </u><u>=</u><u> </u><u>s</u><u>l</u><u>o</u><u>p</u><u>e</u> and <u>b</u><u> </u><u>=</u><u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u>.</u> We substitute m = 4/5.
Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).
3. Answer
- Therefore the equation of the line is y = 4x/5.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Midpoint Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (2, 9)
Point (8, 1)
<u>Step 2: Identify</u>
(2, 9) → x₁ = 2, y₁ = 9
(8, 1) → x₂ = 8, y₂ = 1
<u>Step 3: Find Midpoint</u>
Simply plug in your coordinates into the midpoint formula to find midpoint
- Substitute in points [Midpoint Formula]:
- [Fractions] Add:
- [Fractions] Divide:
- A monomial is an expression containing a single term.
- A binomial is an expression having two terms.
- A trinomial is an expression having three terms.
- Here -6 is a monomial having a single term -6.
- -5 + x is a binomial containing two terms -5 and x.
- 32x - y is a binomial having two terms 32x and -y.
- 6x² + 5x - 3 is a trinomial having three terms 6x², 5x and -3.
- z² +2 is a binomial having two terms z² and 2.
<u>Answers</u>
- <u>monomial</u>
- <u>binomial</u>
- <u>binomial</u>
- <u>trinomial</u>
- <u>binomial</u>
Hope you could understand.
If you have any query, feel free to ask.
I believe it's the 3rd one. It's a really tricky question sorry if you get it wrong
B=8. A^2+B^2=C^2. This means 6to the second power plus B to the second power equals10 to the second power. 36+b^2=100. B to the second power equals 64. Square root of 64 is 8, so B equals 8
