COORDINATE GEOMETRY

[surreal star]

,rotate

[surreal star]

for a)

first we need to figure out the gradient of l2

to do this we find the gradient of l1 and do something to it

[woven maple]

inverse the mf

and find the point it crosses through

where the x coordinate is 4

so we can find the y coordinate

[surreal star]

yeah

[woven maple]

5y-10=2(4)

5y=18

y=18/5

[surreal star]

yh

[woven maple]

y = 2x/5 -2

so the gradient is now

-5/2

[surreal star]

yh

oh u wanted the 2nd question mb

[woven maple]

and then do you use the equation (y1-y) = m (x1-x)

mhm

[surreal star]

or y = mx + c whichever u prefer

[woven maple]

tbf i dont know how to finish the first question

do i just say y = -5/2 x +c

[surreal star]

nah now you gotta find c

any idea how to do that?

[woven maple]

sub in both your x and y

y = -5/2x +c

18/5 = -5/2(4) +c

[surreal star]

yh

[woven maple]

c = 68/5

[surreal star]

y

[woven maple]

so now we have 4x + 5/2 y + 68/5 = 0

no -5/2y

how do i get that into a quadratic

[surreal star]

quadratic 💀

[woven maple]

what am i missing 😭

OH NV,

you just sub in both lines

where x = 0

both equations even

and then you have all 3 coordinates

[surreal star]

wait

how did you get 4x

[woven maple]

given to us in the question

no its just x innit

not 4x

[surreal star]

y = -5/2x+ 68/5
5/2x + y - 68/5 = 0
25x + 10y - 136 = 0

i got this

[woven maple]

but my thought process for the second question