Find the equation of the line that contains the given point and has the given slope. $( 2,11 ) , m = \frac { 2 } { 11 }$
A) $11 x - 2 y = - 117$
B) $2 x - 11 y = - 117$
C) $11 x - 2 y = 2$
D) $2 x - 11 y = 2$
E) $2 x - 11 y = - 7$

Question

Quizplus · Accepted Answer

The equation of a line with slope $m$ and passing through a point $(x_1, y_1)$ is given by $y - y_1 = m(x - x_1)$. Substituting $m = \frac{2}{11}$, $x_1 = 2$, and $y_1 = 11$, we get $y - 11 = \frac{2}{11}(x - 2)$. Multiplying both sides by 11 to clear the fraction gives $11y - 121 = 2x - 4$, which simplifies to $2x - 11y = -117$.

Find the Equation of the Line That Contains the Given (2,11),m=211( 2,11 ) , m = \frac { 2 } { 11 }(2,11),m=112​

Find the Equation of the Line That Contains the Given $( 2,11 ) , m = \frac { 2 } { 11 }$