Use the given conditions to write an equation for the line in point-slope form.
-Slope $= \frac { 5 } { 6 }$, passing through $( 3,5 )$
A) $x - 5 = \frac { 5 } { 6 } ( y - 3 )$
B) $y - 5 = \frac { 5 } { 6 } ( x - 3 )$
C) $y + 5 = \frac { 5 } { 6 } ( x + 3 )$
D) $y = \frac { 5 } { 6 } x + 3$

Question

Quizplus · Accepted Answer

The point-slope form of a line is $y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a point on the line. Given the slope $m = \frac{5}{6}$ and the point $(3,5)$, the equation becomes $y - 5 = \frac{5}{6}(x - 3)$, which matches choice B.

Use the Given Conditions to Write an Equation for the Line