Hey there! :)
To find an equation of a line that passes through (5, 1) and has a slope of 2, we'll need to plug our known variables into the slope-intercept equation.
Slope-intercept equation : y = mx + b ; where m=slope, b=y-intercept
Since we're already given the slope, all we really need to do is find the y-intercept.
We can do this by plugging our known values into the slope-intercept equation.
y = mx + b
Since we're trying to find "b," we need to plug in "y, m, x" into our formula.
(1) = (2)(5) + b
Simplify.
1 = 10 + b
Subtract 10 from both sides.
1 - 10 = b
Simplify.
-9 = b
So, our y-intercept is 9!
Now, we can very simply plug our known values into slope-intercept form.
y = mx + b
y = 2x - 9 → final answer
~Hope I helped!~
Step-by-step explanation:
Let's assume Debbie paid $1700 in interest, while Jan paid $9000.
Debbie Saves = $1700* 0.28
Jan Saves = $9000 * 0.28
Debbie Saves $476 in taxes
Jan Saves $2520 in taxes
Answer:
10/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
1/3(4 + 18) - 2²
<u>Step 2: Evaluate</u>
- (Parenthesis) Add: 1/3(22) - 2²
- Exponents: 1/3(22) - 4
- Multiply: 22/3 - 4
- Subtract: 10/3
Answer:
y = 4x - 2
Step-by-step explanation:
slope = 4
y -6 = 4 ( x- 2 )
distribute the 4 to ( x - 2 )
y - 6 = 4x - 8
add 6 to both side
y = 4x - 2
Hopefully this helps you understand this concept.
