Express the equation in the form y = mx + b by solving for y. $$- 2 x - 7 y = - 6$$
A) $y = - \frac { 2 } { 7 } x + \frac { 6 } { 7 }$
B) $y = - \frac { 2 } { 7 } x - 6$
C) $y = - \frac { 2 } { 7 } x - \frac { 6 } { 7 }$
D) $y = \frac { 2 } { 7 } x - \frac { 6 } { 7 }$

Question

Quizplus · Accepted Answer

To solve for y in terms of x, we start with the given equation $-2x - 7y = -6$. Adding $2x$ to both sides gives $-7y = 2x - 6$. Dividing every term by $-7$ to solve for $y$ gives $y = -\frac{2}{7}x + \frac{6}{7}$, which matches choice A.

Express the Equation in the Form Y = Mx −2x−7y=−6- 2 x - 7 y = - 6−2x−7y=−6

Express the Equation in the Form Y = Mx $- 2 x - 7 y = - 6$