AS Maths core 1 coordinate gerometry edexcel

I'm stuck on a few questions and i would be really really grateful if someone can help me by giving me a detailed method for the questions as well as their answers!

1.A line l₁ has equation 5y+4x=3
ii)Find the equation of the line l₂ which is parallel to l₁ and passes through the point
(1, -2).
( the gradient is -4/5 )

4. The coordinates of four points are P (-2, -1), Q (6, 3), R (9, 2) and S (1, -2).


(iv) Show that the equation of SR is 2y = x – 5 and find the equation of the line L through
Q perpendicular to SR.


(v) Calculate the coordinates of the point T where the line L meets SR. [3]

5. The straight line l1 has equation 4y+x=0
The straight line l2 has equation y=2x-3
a) sketch the graph of l1 and l2. Show the coordinates of all points at which the graph meets the coordinate axes.
b) the lines intersect at the point A. Calculate, as exact fractions, the coordinates of A.
c) find the equation of the line through A, which is perpendicular to l1. Give your answer in the form ax+by+c=, where a,b and c are intergers.

Thank you!

I'm stuck on a few questions and i would be really really grateful if someone can help me by giving me a detailed method for the questions as well as their answers!

1.A line l₁ has equation 5y+4x=3
ii)Find the equation of the line l₂ which is parallel to l₁ and passes through the point
(1, -2).
( the gradient is -4/5 )

4. The coordinates of four points are P (-2, -1), Q (6, 3), R (9, 2) and S (1, -2).


(iv) Show that the equation of SR is 2y = x – 5 and find the equation of the line L through
Q perpendicular to SR.


(v) Calculate the coordinates of the point T where the line L meets SR. [3]

5. The straight line l1 has equation 4y+x=0
The straight line l2 has equation y=2x-3
a) sketch the graph of l1 and l2. Show the coordinates of all points at which the graph meets the coordinate axes.
b) the lines intersect at the point A. Calculate, as exact fractions, the coordinates of A.
c) find the equation of the line through A, which is perpendicular to l1. Give your answer in the form ax+by+c=, where a,b and c are intergers.

Thank you!