Find the slope of the line. $$2 ( x - 16 ) = 25 y + 21$$
A) $m = 25$
B) $m = \frac { 16 } { 25 }$
C) $m = \frac { 4 } { 25 }$
D) $\quad m = \frac { 2 } { 25 }$
E) $m = - \frac { 2 } { 25 }$
F) $m = 2$

Question

Quizplus · Accepted Answer

We need to put the equation in slope-intercept form, which is in the form of $y=mx+b$. First, we simplify the given equation: $$2 ( x - 16 ) = 25 y + 21$$
$$2x-32 = 25y +21$$
$$25y=2x-53$$
$$y=\frac{2}{25}x-\frac{53}{25}$$
The slope of the line is the coefficient of $x$ in this equation, which is $\boxed{\frac{2}{25}}$.

Find the Slope of the Line 2(x−16)=25y+212 ( x - 16 ) = 25 y + 212(x−16)=25y+21

Find the Slope of the Line $2 ( x - 16 ) = 25 y + 21$