Equation of a line parallel to a given line,

Error

There was an error loading the page.

Contributors

Newcastle University Mathematics and Statistics

Feedback

From users who are not members of Content created by Newcastle University :

haifa abd

said

Ready to use

6 years, 10 months ago

History

○

haifa abd 6 years, 10 months ago

Gave some feedback: Ready to use

○

Newcastle University Mathematics and Statistics 9 years, 2 months ago

Created this.

Name	Status	Author	Last Modified
Equation of a line parallel to a given line,	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:50
Luis's copy of Equation of a line parallel to a given line,	draft	Luis Hernandez	30/11/2018 16:03
Hallar la ecuación de una recta paralela a una recta dada...	Ready to use	Luis Hernandez	14/12/2020 19:33

There are 5 other versions that do you not have access to.

Question statement

Find the equation of the straight line which:

Is parallel to $\displaystyle \simplify{{(b-d)/n2}x+{(c-a)/n2}y={(b*c-a*d)/n2}}$ .

Passes through the point $(\var{h},\var{k})$ .

Input your answer in the form $mx+c$ for suitable values of $m$ and $c$ .

Input $m$ and $c$ as fractions or integers as appropriate and not as decimals.

If you input $m$ as a fraction, put brackets ( ) around the fraction. For example, if your answer for $m$ is $\dfrac{-2}{3}$ and your answer for $c$ is $\dfrac{7}{5}$ , you should write $(-2/3)x+7/5$ .

Click on Show steps if you need help, you will lose 1 mark if you do so.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	-1
c	integer	3
b	integer	9
d	integer	-2
g	rational	25/4
f	rational	-11/4
h	integer	1
s1	integer	1
k1	rational	7/2
n1	number	1
n2	number	1
k	integer	4
d1	integer	-1

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1,-1)*random(1..4)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

-1

→ Used by:

Statement
Advice
"Unnamed part" → "Unnamed gap" - Correct answer
"Unnamed part" → "Unnamed step" - prompt

Parts

Gap-fill
1. Gap Mathematical expression
  Add
1. Step Information only

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

$y=\;\phantom{{}}$ Unnamed gap

Advice

The equation of the line is of the form $y=mx+c$ .

The gradient $m$ will be the same as the gradient of the line $\displaystyle \simplify{{(b-d)/n2}x+{(c-a)/n2}y={(b*c-a*d)/n2}}$ , which is $\displaystyle m= \simplify{{b-d}/{a-c}}$ . We can calculate the constant term $c$ by noting that $y=\var{k}$ when $x=\var{h}$ .

Using this we get:

$\begin{eqnarray} \var{k}&=&\simplify[std]{({b-d}/{a-c}){h}+c} \Rightarrow\\ c&=&\simplify[std]{{k}-({b-d}/{a-c}){h}={(b*h-d*h+c*k-a*k)}/{(c-a)}} \end{eqnarray}$

Hence the equation of the line is

$y = \simplify[std]{({b-d}/{a-c})x+{b*h-d*h+c*k-a*k}/{c-a}}$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Information only

This question is used in the following exams:

Foundation mathematics by Newcastle University Mathematics and Statistics in Content created by Newcastle University.
David's copy of Foundation mathematics by David Rickard in David's workspace.
Parallel and Perpendicular lines by haifa abd in NEM1001.
MATH1601 Quiz 2 by Blathnaid Sheridan in Blathnaid's workspace.
Foundation mathematics quiz by Simon Thomas in Foundation mathematics.
Maria's copy of Foundation mathematics by Maria Aneiros in Maria's workspace.
Ann's copy of Foundation mathematics by Ann Smith in Foundation Maths.
Preliminary Mathematics Advanced Assessment Task 1 by Joanna Rankins in Joanna's workspace.
Preliminary Advanced Mathematics Assessment Task by Joanna Rankins in Joanna's workspace.
Ben's copy of Foundation mathematics by Ben Sathuluri in Ben's workspace.
Straight Lines by Mike Phipps in Intro Maths.
Foundation of Maths by Chris Templet in Chris's workspace.
Diagnostic Test by Matt Falk in Matt's workspace.
Robert's copy of Foundation mathematics by Robert Barham in Robert's workspace.
claire's copy of Foundation mathematics by claire lines in claire's workspace.
Quiz 1 by Kate Vincent in Kate's workspace.
Quiz 1 by Kate Vincent in Kate's workspace.
Summer Quiz 1 by Kate Vincent in Kate's workspace.
Testing package by Niall Barr in Niall's workspace.
Mid Unit Intervention by Mike Phipps in Intro Maths.
EGD105_PST1 by Matt Falk in Matt's workspace.

Loading...

Error

Equation of a line parallel to a given line,

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

haifa abd 6 years, 10 months ago

Newcastle University Mathematics and Statistics 9 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Equation of a line parallel to a given line,

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

haifa abd 6 years, 10 months ago

Newcastle University Mathematics and Statistics 9 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`