In the co-ordinate diagram shown, the lines j, k, and l are parallel, and so are the lines m and n - Leaving Cert Mathematics - Question 3 - 2011
Question 3
In the co-ordinate diagram shown, the lines j, k, and l are parallel, and so are the lines m and n.
The equations of four of the five lines are given in the table be... show full transcript
Worked Solution & Example Answer:In the co-ordinate diagram shown, the lines j, k, and l are parallel, and so are the lines m and n - Leaving Cert Mathematics - Question 3 - 2011
Step 1
Complete the table, by matching four of the lines to their equations.
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Equation
Line
x + 2y = -4
l
2x - y = -4
m
x + 2y = 8
j
2x - y = 2
n
Step 2
Hence, insert scales on the x-axis and y-axis.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To insert scales, mark the x-axis and y-axis at suitable intervals for clarity. A typical scale might include increments of 1, allowing for easier reading of line intersections.
Step 3
Hence, find the equation of the remaining line, given that its x-intercept and y-intercept are both integers.
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Given the need for both x-intercept and y-intercept to be integers, we can derive the equation as follows:
Let the equation of the line be in the form: y=mx+c.
For integral intercepts, one solution can be y=21x+2, or alternatively x+2y=4.
This ensures that both intercepts are integers.
Join the Leaving Cert students using SimpleStudy...
