The equation of the line that passes through (3, −2) and is perpendicular to y = (3/4)x + 6 will be y = -(4/3)x + 2. Then the correct option is B.
<h3>What is the equation of a perpendicular line?</h3>
Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. Or if the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given below.
y = (3/4)x + 1/3
The slope of the line is 3/4. Then the slope of the perpendicular line will be
Slope = - 1 / (3/4)
Slope = - 4 / 3
Then the equation of the line will be
y = -(4/3)x + D
The line is passing through (3, -2), then the value of D will be
-2 = (-4/3) × 3 + D
-2 = - 4 + D
D = 2
The equation of the line that passes through (3, −2) and is perpendicular to y = (3/4)x + 6 will be y = -(4/3)x + 2. Then the correct option is B.
More about the equation of a perpendicular line link is given below.
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The answer should be x=5, y=2. Hope this helps
Answer:
a = √(c² - b²)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define</u>
a² + b² = c²
<u>Step 2: Rearrange</u>
- Subtract b² on both sides: a² = c² - b²
- Square root both sides: a = √(c² - b²)
And we have our final answer!
A real-world situation to model the number line is: It was colder on Friday night than Saturday morning because 0 is greater than -1
<h3>How to interpret the number line?</h3>
See attachment for the number line
From the figure, we have the following points
0 and -1
The number line can be modelled by temperature where a colder temperature is represented by 0, while the other temperature is -1 degrees Celsius
Hence, a complete scenario is:
On a Friday night, the measure of the temperature is 0 degrees Celsius. On Saturday morning, the temperature is -1 degree Celsius. It was colder on Friday night than Saturday morning because 0 is greater than -1
Read more about number lines at:
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