Answer:
B. [tex]y=\frac{2}{7}x-\frac{1}{7}[/tex]
Step-by-step explanation:
We have been given an equation [tex]5-2x+7y=4[/tex]. We are asked to choose the equation that is equivalent to our given equation.
We will convert our given equation in point-slope form of equation.
[tex]5-2x+2x+7y=4+2x[/tex]
[tex]5+7y=4+2x[/tex]
[tex]5-5+7y=4-5+2x[/tex]
[tex]7y=-1+2x[/tex]
[tex]7y=2x-1[/tex]
Divide both sides by 7:
[tex]\frac{7y}{7}=\frac{2x}{7}-\frac{1}{7}[/tex]
[tex]y=\frac{2}{7}x-\frac{1}{7}[/tex]
Therefore, equation [tex]y=\frac{2}{7}x-\frac{1}{7}[/tex] is equivalent to our given equation and option B is the correct choice.