Find the slope of the line. $2 ( x - 16 ) = 25 y + 22$
A) $m = \frac { 4 } { 25 }$
B) $\quad m = 25$
C) $m = 2$
D) $m = - \frac { 2 } { 25 }$
E) $m = \frac { 2 } { 25 }$
F) $m = \frac { 16 } { 25 }$

Question

Quizplus · Accepted Answer

We can simplify the equation into slope-intercept form:

$$2(x-16) = 25y+22$$
$$2x - 32 = 25y + 22$$
$$2x - 54 = 25y$$
$$\frac{2x-54}{25} = y$$

Therefore, the equation is $y = \frac{2}{25}x - \frac{54}{25}$.

The slope of this line is the coefficient of $x$, which is $\frac{2}{25}$. Thus, the answer is (E).

Find the Slope of the Line 2(x−16)=25y+222 ( x - 16 ) = 25 y + 222(x−16)=25y+22

Find the Slope of the Line $2 ( x - 16 ) = 25 y + 22$