Write the equation of 4x+5t=20 in slope-intercept form

Mathematics

2 answers:

AfilCa [17]2 years ago

7 0

Answer:

$y=-\frac{4}{5}x +4$

Step-by-step explanation:

Recall that slope-intercept form is the following form: $y=mx+b$ , where m is the slope and b is the y-intercept.

To get an equation into slope-intercept form, we just need to solve for y.

We begin with the equation $4x+5y=20$ . With this, we can solve for y to get our answer.

$4x+5y=20\\\\5y=-4x+20\\\\y=-\frac{4}{5}x +\frac{20}{5} \\\\y=-\frac{4}{5}x +4$

Aleonysh [2.5K]2 years ago

4 0

Answer:

y=(-4/5)x+4

Step-by-step explanation:

4x+5y=20

5y=-4x+20

y=(-4/5)x+4

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3 years ago

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fgiga [73]

Answer:

 For y :

From pythogras theorem:

${ \tt{ {(hypotenuse)}^{2} = {(adjacent)}^{2} + {(opposite)}^{2} }} \\ { \tt{ {(7 + 3)}^{2} = \{( {x}^{2} + 9) \} {}^{2} + {y}^{2} }} \\ { \tt{100 = ( {x}^{4} + 18 {x}^{2} + 81) + {y}^{2} }} \\ { \tt{ {y}^{2} = 100 - {x}^{4} - {18x}^{2} - 81 - - - - (a) }}$

For the second largest inner triangle;

${ \tt{ {y}^{2} = {7}^{2} + {x}^{2} }} \\ { \tt{ {y}^{2} - = 49 + {x}^{2} - - - - (b) }}$

Equate (a) and (b):

${ \tt{100 - {x}^{4} - 18 {x}^{2} - 81 = 49 + {x}^{2} }} \\ { \tt{100 - 49 - 81 = {x}^{4} + 19 {x}^{2} }} \\ { \tt{ - 30 = {x}^{2}( {x}^{2} + 19x)}} \\ { \boxed{ \tt{for \: \: {x}^{2} = - 30...imaginary \: value }}} \\ {\boxed{ \tt{for \: \: ( {x}^{2} + 19x ) \: = - 30}}} \\ { \tt{ {x}^{2} + 19x + 30 = 0 }} \\ { \tt{}}$