Find the equation of the line that contains the given point and has the given slope. $m = \frac { 3 } { 2 } , ( 1,2 )$
A) 3 x - 2 y = -1
B) 3 x - 2 y = 1
C) $-$ 3 x - 2 y = 1
D) 3 x + 2 y = -1

Question

Quizplus · Accepted Answer

The point-slope form of a line is $y - y_1 = m(x - x_1)$. Substituting $m = \frac{3}{2}$, $x_1 = 1$, and $y_1 = 2$, we get $y - 2 = \frac{3}{2}(x - 1)$. Simplifying, $y = \frac{3}{2}x - \frac{1}{2} + 2$. Converting to standard form, $3x - 2y = -1$.

Find the Equation of the Line That Contains the Given m=32,(1,2)m = \frac { 3 } { 2 } , ( 1,2 )m=23​,(1,2)

Find the Equation of the Line That Contains the Given $m = \frac { 3 } { 2 } , ( 1,2 )$