Question

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

Answer 1

B)

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:

`y = -(5)/(2)x + 3`

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!

Answer 2

`\textsf{B)} \quad y=-(5)/(2)x+3`

Explanation:

Given equation:

`5x+2y=6`

Subtract 5x from both sides of the equation:

`\implies 5x+2y-5x=6-5x`

`\implies 2y=-5x+6`

Divide both sides of the equation by 2:

`\implies (2y)/(2)= (-5x)/(2)+ (6)/(2)`

`\implies y=-(5)/(2)x+3`