Question

what is –3x–2y=30 in slope-intercept form?

Answer 1

$\red{HEY\:BUDDY!!}$

HERE'S THE ANSWER...

_____________________________

♠️ Given question

✔️ $\boxed{ -3x-2y\:=\:30}$

⏺️ Taking ( - ) common

=> - ( 3 x + 2 y ) = 30

=> [ 3 x + 2 y = - 30 ]

♠️ $\underline{Slope \:Form}$

✔️ $\boxed{ y\:=\: mx + c}$

⏺️ Where , m is slope

⏺️ c is intercept

=> $\bold{ 3x+2y\:=\:-30}$

=> $\bold{ 2y\:=\:-30 -3x}$

=> $\bold{ 2y\:=\: -3x - 30}$

=> $\bold{ y\:=\: ( -3/2 )x - ( 30/2 )}$

=> $\bold{ y\:=\: ( -3/2 )x - 15}$__( 1 )

▶️ Comparing eqn ( 1 ) from slope eqn

=> $\boxed{ Slope ( m )\:= -3/ 2}$

=> $\boxed{ Intercept( c )\:=\:-15}$

♠️ $\underline{Intercept \:Form}$

✔️ $\boxed{ ( x/a ) + (y/b) \:= 1}$

⏺️ Where

⏺️ a is x - intercept

⏺️ b is y intercept

=> $\bold{ 3x+2y\:=\:-30}$

=> $\bold{ (3/-30)x+(2/-30)y\:=\:1}$

=> $\bold{ ((x/-10)+(y/-15)\:=\:1}$___( 2 )

⏺️ By comparing eqn ( 2 ) with intercept form

=> $\boxed{ a\:=\:-10}$

=> $\boxed{ b\:=\:-15}$

▶️ Here x - intercept is - 10 and y - intercept is - 15

HOPE HELPED...

$\red{JAI \:HIND..}$

:)

Answer 2

slope form

y = mx + c

- 3x - 2y = 30

-2y = 30 + 3x

y = ( 3/-2)x + 30/-2

now , m = -3/2 and c = -15

Intercept form

x/a + y/b = 1

–3x–2y=30

(-3/30)x - (2/30) y = 1

x/-10 + y/-15 = 1

Now , a= -10 ; b = -15

x intercept = -10

y intercept = -15

Hope it helps..