Find the equation of the line that contains the given point and has the given slope. $( 0,0 ) , m = \frac { 8 } { 9 }$
A) 9 y $-$ 8 x = 0
B) 9 x $-$ 8 y = 0
C) 9 x + 8 y = 0
D) 9 y $-$ 8 = 0
E) 9 y + 8 x = 0

Question

Quizplus · Accepted Answer

The equation of a line with slope $m$ and passing through the origin $(0,0)$ can be written in slope-intercept form as $y = mx$. Substituting $m = \frac{8}{9}$, we get $y = \frac{8}{9}x$. To convert this into standard form $Ax + By = C$, we multiply both sides by 9 to eliminate the fraction: $9y = 8x$, which rearranges to $9y - 8x = 0$.

Find the Equation of the Line That Contains the Given (0,0),m=89( 0,0 ) , m = \frac { 8 } { 9 }(0,0),m=98​

Find the Equation of the Line That Contains the Given $( 0,0 ) , m = \frac { 8 } { 9 }$