Question

Find the equation of the line that is parallel to the line x + y - 3 = 0 and that passes through the point (2.3)

115

likes
577 views

Answer to a math question Find the equation of the line that is parallel to the line x + y - 3 = 0 and that passes through the point (2.3)

Expert avatar
Hester
4.8
117 Answers
1. Rewrite the given line equation in slope-intercept form to find its slope:
x + y - 3 = 0
\Rightarrow y = -x + 3

2. The slope of the given line is:
m = -1

3. A parallel line will have the same slope. Using the point-slope form of the line equation with the point (2, 3) and slope -1:
y - 3 = -1(x - 2)

4. Simplify the point-slope form to slope-intercept form:
y - 3 = -x + 2
\Rightarrow y = -x + 5

5. Convert back to standard form:
x + y - 5 = 0

So, the equation of the line parallel to the given line and passing through the point (2, 3) is:

x + y - 5 = 0

Frequently asked questions (FAQs)
What is the derivative of sin^2(x) + cos(2x) - tan(x) at x = Ο€/4?
+
Question: What is the perimeter of a rectangular garden with length 12 meters and width 8 meters?
+
What is the formula for finding the mean of a dataset?
+
New questions in Mathematics
A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.
Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution
If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.
Add. 7/wΒ²+18w+81 + 1/wΒ²-81
8x-(5-x)
Determine the absolute extrema of the function 𝑓(π‘₯)=π‘₯3βˆ’18π‘₯2 96π‘₯ , on the interval [1,10]
(5u + 6)-(3u+2)=
How long will it take for $900 to become $5000 at an annual rate of 11.15% compounded bimonthly?
15/5+7-5
What is 28 marks out of 56 as a percentage
(24, -7) is on the terminal arm of an angle in standard position. Determine the exact values of the primary trigonometric functions.
Task 1 angel has 3 quarters 3/8 of a tank of gasoline and Miguel 7/8, who has more gasoline? number line on number line
show step by step simplification: (Β¬π‘‘βˆ¨((Β¬b∧c)∨(b∧¬c)))∧((π‘Ž ∧ 𝑏) ∨ (Β¬π‘Ž ∧ ¬𝑏))∧(Β¬π‘βˆ¨((Β¬π‘‘βˆ§π‘Ž)∨(π‘‘βˆ§Β¬π‘Ž)))
The Humane Society has asked for our help again this week. Currently they are charging $50 for an adoption fee. Unfortunately they just pulled this number out of the air and do not know why they are charging this amount. They would like to charge an amount that covers all the adoption costs – both the variable costs for adoptions as well as the fixed cost for the kennel portion of the Humane Shelter operations. We can help them by doing a breakeven analysis. During a client meeting we gathered these facts. There are 2 part-time employees that each earn $1000 per month. The utilities for the kennel area (water, electricity) are $200 per month. The average food cost for animals in the kennel is $800 per month. In addition, each animal that is adopted receives a rabies vaccination that costs $4 and is micro-chipped that costs $6. At the current cost of $50, how many animals must be adopted to break-even? What would break-even be at a $60 adoption fee? What would break-even be if the fee were lowered to $40? The newspaper has suggested that the Humane Society advertise to increase pet adoptions. The package that they have recommended costs $1000 for a very small ad run every day for a month. If the Humane Society does this extra advertising, how will it affect breakeven? Based on what you have learned about elasticity, what price do you recommend for the adoption fee?
We have two distributions: A (M = 66.7, 95% CI = [60.3, 67.1]) / B (M = 71.3 95% CI = [67.7, 74.9]). Erin maintains that B is significantly larger than A. Provide your opinion on Erin’s argument and justify your opinion.
Let N be the total number of ways to choose at least one ride, out of a total of 7 different ones, existing in an amusement park. Can it be said that N is a natural number equal to?
Gender and communication : Answer the question ( 1 paragraph is ok) . Please can you write about women? Compared to your other identities, how much of a role does gender play in your life? And has your own sex/gender offered you privileges or disadvantages? How so?
Convert (324)𝑓𝑖𝑣𝑒 into base-ten
8(x+4) -4=4x-1
97,210 βž— 82 division