Question

1. In the diagram below, A is the point (-1,-7) and B is the point (4,3) on the line AB
(a) Find the gradient of the line AB.
(b) AB cuts the y-axis at the point (0,-5). Write down the equation of the line AB.
(c) The point (3k, k) lies on AB. Find the value of k.

2. Andrew and Daisy each book in at The Sleepwell Lodge.
(a) Andrew stays for 3 nights and has breakfast on 2 mornings. His bill is £145.
Write down an algebraic equation to illustrate this information.
(b) Daisy stays for 5 nights and 3 mornings. Her bill is £240. Write down an
algebraic equation to illustrate this information.
(c) Find the cost of one breakfast.

Can someone help me with 1C and 2

Answer 1

Step-by-step explanation:

find out the equation of line AB and then in that equation put x as 3k and y as k and find the answer