Pregunta
Question 4
The gradient of the line joining the two points
a) Write down the gradient of the line which is parallel to
b) Write down the gradient of the line which is perpendicular to
c) Find the equation of the line parallel to
Give your final answer in standard form
d) Find the equation of the line perpendicular to
The gradient of the line joining the two points
a) Write down the gradient of the line which is parallel to
b) Write down the gradient of the line which is perpendicular to
c) Find the equation of the line parallel to
Give your final answer in standard form
d) Find the equation of the line perpendicular to
Ask by Harris Harmon. in Dominica
Mar 31,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
(a) The gradient of the line parallel to
(b) The gradient of the line perpendicular to
© The equation of the line parallel to
(d) The equation of the line perpendicular to
Solución
(a) The gradient of the line parallel to
(b) The gradient of the line perpendicular to
© To find the equation of the line parallel to
Multiplying both sides by 4 to eliminate the fraction gives:
Rearrange the equation into standard form
(d) To find the equation of the line perpendicular to
Multiply both sides by 3:
Rearrange into standard form:
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Simplifique esta solución Beyond the Answer
The gradient of the line parallel to
To find the equation of the line parallel to
which becomes:
Simplifying leads to:
Now, rearranging in standard form
For the equation of the line perpendicular to
This simplifies to:
Changing
Rearranging gives:
And there you have it! The equations are:
- Parallel line:
- Perpendicular line:
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