Question

P(-4,2) L: 4x+5y=2
What is the equation of a line through P and parallel to L?
So far I have y=-4/5x-1(1/5), it says my answer is correct but i need to simplify and use integers or fractions for any numbers in the expression, help please?

Answer 1

through point (-4,2) and parallel to L
so a line parallel to L will be 4x+5y= D
now to find D put x=-4, y=2
4*(-4)+5*2=D=-16+10=-6
and your equation is
4x+5y=-6

Answer 2

thank you sooo much!

Answer 3

:) YW

Answer 4

could you help me with one more thing?

Answer 5

sure

Answer 6

the follow up question asks for the equation of a line perpendicular instead of parallel, could you explain how to do so?

Answer 7

it says "what is the equation of a line through P and perpendicular to L"

Answer 8

for a perpendicular line your slope will be negative off inverse of given line now to find that 4x+5y=2
5y=-4x+2
y=(-4/5)x+(2/5)
now your required line is y=(-4/5)x+D to find D put x=-4 and y=2
D= 4/5* -4 +2= -16/5+2= -6/5
y=(-4/5)x+(-6/5)

Answer 9

for some reason it's telling me that answer is incorrect..

Answer 10

wait a sec that was wrong...

Answer 11

slope of your required line is 5/4
and your line is y=(5/4)x+D
now put x=-4, y=2
2= 5/4* 4 +D
D= 2-5=-3
and your line is
y=(5/4)x-3
or 4y=5x-12

Answer 12

@taranicolee clear?

Answer 13

oh wait yeah i caught what happened haha i was just coming back to tell you that i figured it out. thank you so much for your help!! (:

Answer 14

:) YW

Answer 15

the final answer will actually be y=5/4x+7