Find the point-slope equation for the line with the given properties.
-Slope $= \frac { 5 } { 2 } ;$ line passes through the point $( - 3,5 )$
A) $y + 3 = \frac { 5 } { 2 } ( x - 5 )$
B) $y - 5 = \frac { 5 } { 2 } ( x + 3 )$
C) $y + 5 = \frac { 5 } { 2 } ( x - 3 )$
D) $x + 5 = \frac { 5 } { 2 } ( y - 3 )$

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. Substituting $m = \frac{5}{2}$ and the point $(-3, 5)$ into this formula gives $y - 5 = \frac{5}{2}(x + 3)$, which matches choice B.

Find the Point-Slope Equation for the Line with the Given =52;= \frac { 5 } { 2 } ;=25​;

Find the Point-Slope Equation for the Line with the Given $= \frac { 5 } { 2 } ;$