jordan2045064
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Select the line that is equivalent to 5x + 2y = 6.


y equals short dash 2 over 5 x plus 6 over 5


y equals short dash 5 over 2 x plus 3


y equals 5 over 2 x minus 3


y equals 2 over 5 x minus 6 over 5

Respuesta :

martysanin

Answer:

B)

Step-by-step explanation:

To know which line is equivalent, we need to convert this equation from standard to slope-intercept form. We can take our original equation:

5x + 2y = 6

Minus 5x from both sides:

2y = -5x + 6

Then, divide by 2:

[tex]y = -\frac{5}{2}x + 3[/tex]

Looking at our options, we can see that

B) y equals short dash 5 over 2 x plus 3, is the same. So, B) is the answer.

Hope this helped!

semsee45

Answer:

[tex]\textsf{B)} \quad y=-\dfrac{5}{2}x+3[/tex]

Step-by-step explanation:

Given equation:

[tex]5x+2y=6[/tex]

Subtract 5x from both sides of the equation:

[tex]\implies 5x+2y-5x=6-5x[/tex]

[tex]\implies 2y=-5x+6[/tex]

Divide both sides of the equation by 2:

[tex]\implies \dfrac{2y}{2}= \dfrac{-5x}{2}+ \dfrac{6}{2}[/tex]

[tex]\implies y=-\dfrac{5}{2}x+3[/tex]

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