Question

solve

Answer 1

two things we need to set up the equation of line: slope and y intercept
we know that point of interception of those equations is point which our line passes through. Can you find that point?

Answer 2

can you solve that system of equations?

Answer 3

yes

Answer 4

x=1/5
y=3/5

Answer 5

correct. substitute them in equation in general form:
y=mx+b
so you get
\[\frac{ 3 }{ 5 }=m\frac{ 1 }{ 5 }+b\]
one equation with two unknows- we can't solve it.
we need another one

what is area of triangle in terms of x and b(y intercept)?

Answer 6

3/8=(1/2) * (1x/5) *(3y/5)

Answer 7

no the equation will look like this:
\[\frac{ 3 }{ 8 }=\frac{ 1 }{ 2 }b*x\]
and x is the coordinate when y=0 so
0=mx+b
x=-m/b
substitute that and you have
\[\frac{ 3 }{8 }=-\frac{b ^2}{ 2m }\]

Answer 8

an this is second equation, now you can solve for b and m (two b's and m's you should get, and so two equations of lines)

Answer 9

so what are those equations?

Answer 10

if you substitute m from second equation to first you'll have:
\[m=-\frac{ 4b^2 }{ 3 }\]
\[\frac{ 3 }{5}=\frac{ 1}{ 5 }*(-\frac{ 4b^2 }{ 3 })+b\]
can you solve this quadratic equation?

Answer 11

but @Fifciol
when x = -m/b value is put into
(3/8) = (1/2) *b* x
we get
-m = 3/4
plse see

Answer 12

yes, this would be one of your solutions

Answer 13

okay

Answer 14

i got m= -3/4

Answer 15

and b = 3/4

Answer 16

now, what to do next

Answer 17

so your first equation is y=-3/4x + 3/4

Answer 18

okay

Answer 19

this is the answer

Answer 20

but there is another one

Answer 21

\[\frac{ 3 }{ 5 }=-\frac{ 4b^2 }{ 15 }+b\] one of the solutions of this equation is 3/4 but it's quadratic equation. There must be another one

Answer 22

so on solving this , i will got another answer i mean another equation of st. line

Answer 23

yup

Answer 24

i got b = 3/4 and 3

Answer 25

correct

Answer 26

so for b=3 what is m?

Answer 27

m=-12

Answer 28

yes so your 2nd line equation looks now like this:
y=-12x + 3

Answer 29

these two equations are the answer for your question

Answer 30

@Fifciol
thank u so much

Answer 31

yw :)