Straight line Summary

Equations of Straight Lines4.1 THIS IS NOT HOMEWORK

1. Find the equation of the line parallel to the given line which passes through the given point. Give your answer in the form $ay+bx=c$

1. $3x-4y=3$ through (2,-1)
2. $5y-4x=12$ through (-3,-2)
3. $3x+4y=4$ through (1,1)
4. $5x+2y=8$ through (1,0)

[8 marks]

2. Find the equation of the line perpendicular to the given line which passes through the given point. Give your answer in the form $ay+bx+c=0$

1. $3x+2y=6$ through (5,1)
2. $5y-4x=2$ through (-3,3)
3. $y+3x=6$ through (5,0)
4. $4x+2y=5$ through (14,2)

[8 marks]

3.

1. Find the gradient of the line
2. Using the previous part and the coordinates of one of the points on the line, work out the equation of the line

[6 marks]

4. Find the equation of the line which passes through (-4,5) and (4,-7). Give your answer in the form $ax+by+c=0$

[3 marks]

5. Find the gradient and y intercept of the line $4x-3y=6$

[2 marks]

6. Find the equation of the line which is perpendicular to the line $2y-3x=10$ and passes through the point (2,-5). Give your answer in the form $ay+bx+c=0$

[4 marks]