The points A and B have coordinates (k, 1) and (8, 2k 1) respectively, where k
Question:
The points A and B have coordinates (k, 1) and (8, 2k − 1) respectively, where k is a constant. Given that the gradient of AB is 1/3
a. Show that k = 2
b. Find an equation for the line through A and B.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
To find the value of k we can use the fact that the gradient of the line passing through two points ...View the full answer
Answered By
ROXAN VEGA
I have extensive hands-on experience and proficiency in assisting students in various subjects. During my tutoring sessions, I prioritize creating a supportive and engaging learning environment. I strive to understand each student's unique learning style and tailor my teaching methods accordingly. I am patient, empathetic, and skilled at breaking down complex concepts into simpler, more manageable parts. I encourage active participation and discussion, promoting critical thinking and problem-solving skills.
One of my strengths as a tutor is my ability to adapt to different learning needs and styles. I can explain difficult concepts using real-life examples, visual aids, or interactive exercises, depending on what works best for the student. I also provide clear explanations, answer questions, and offer guidance in a clear and concise manner.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
The points A and B have coordinates (4, 6) and (12, 2) respectively. The straight line l 1 passes through A and B. a. Find an equation for l 1 in the form ax + by + c = 0, where a, b and c are...
-
The points A and B have coordinates (2, 16) and (12, 4) respectively. A straight line l 1 passes through A and B. a. Find an equation for l 1 in the form ax + by = c. The line l 2 passes through the...
-
Two points A and B have coordinates (-3, 2) and (9, 8) respectively. i. Find the coordinates of C, the point where the line AB cuts the y-axis. ii. Find the coordinates of D, the mid-point of AB....
-
Research is a process of discovering new knowledge. In the Code of Federal Regulations (45 CFR 46.102(d)) pertaining to the protection ofhuman subjects,research is defined as:...
-
The McCollams entered into a contract to purchase Cahill's property on the outskirts of Mobridge, South Dakota. South Dakota law requires sellers of residential real estate to fill out a property...
-
Is it important to write objectives?
-
In the months leading up to the 2016 election, Christopher Steele, a former British intelligence agent, was hired by a Washington, D.C., research firm to investigate whether then-candidate Donald...
-
Qwik Repairs has over 200 auto-maintenance service outlets nationwide. It provides primarily two lines of service: oil changes and brake repair. Oil changerelated services represent 70% of its sales...
-
Arrow Hospitality prepares adjustments monthly and showed the following at September 3 0 , 2 0 2 3 : ARROW HOSPITALITY Trial Balances September 3 0 , 2 0 2 3 Unadjusted Adjusted Trial Balance...
-
SMOLIRA GOLF, INCORPORATED Balance Sheets as of December 31. 2021 and 2022 Assets 2021 2022 Current assets Cash $6,358 $7,866 Accounts receivable 9248. 11,445 Inventory. 14,580 29,641 Total $30,186...
-
These lines cut the y-axis at (0, c). Work out the value of c in each case. a. y = x + 4 b. y = 2x 5 c. y = 1/2 x 2/3 d. y = 3x e. y = 6/7x + 7/5 f. y = 2 7x g. 3x 4y + 8 = 0 h. 4x 5y 10 = 0 i....
-
The line y = 2x + 8 meets the y-axis at the point B. Find the equation of the line with gradient 2 that passes through the point B.
-
A microchannel reactor is being developed for the reforming of methane gas (CH 4 ) to CO 2 and H 2 gas using steam (H 2 O vapor) at high temperature. Prior to entering the reforming reactor, CH 4...
-
What term is most commonly used to describe all costs that a buying organization incurs over the life cycle of a commodity?
-
On January 1, 2018, Gerlach Inc. had the following account balances in its shareholders' equity accounts. Common stock, $1 par, 244,000 shares issued 244,000 Paid-in capital - excess of par, common...
-
Suppose that individual IV-8 in the pedigree diagram immediately above were to produce a child with someone who had (absolutely) no family history of the disorder. What is the probability that this...
-
When are group disability benefits considered to be tax-free to the insured?
-
With a falling proportion of state funding from the Texas legislature and growing costs for operating colleges and universities, the primary burden of carrying the costs of higher education is...
-
Conduct a test of the significance of the overall model for the salaries model which includes all explanatory variables. Test the significance of the individual explanatory variables. What does this...
-
Transform the while loop from the previous exercise into an equivalent for loop (make sure it produces the same output).
-
Find the coordinates of the turning points on the curve y 3 + 3xy 2 x 3 = 3.
-
Given that e 2x + e 2y = xy, find dy/dx in terms of x and y.
-
Find the gradient of the curve with equation 5x 2 + 5y 2 6xy = 13 at the point (1, 2).
-
Provide a review of the survey/ assessment results from the assessment tool. Be sure to include three of the four elements from the Core 5 Personality survey: Openness, Conscientiousness,...
-
The given table shows the preference schedule for an election with five candidates (A, B, C, D and E). The number of voters in this election was very large, so the columns in the preference table...
-
Consider a closed economy described with a Keynesian cross. The consumption is C = 500 + .75 (Y T). Planned investment is 400, government spending is 300, and taxes are 300. 1. If Y is 2000, what is...
Study smarter with the SolutionInn App