To find slope, it is differences of the $\displaystyle y$-coordinates divided by the differences of the $\displaystyle x-$coordinates.

$\displaystyle \frac{6.4-(-0.5)}{-5.5-(-3.2)}=\frac{6.9}{-2.3}=-3$

Anytime you see two $\displaystyle x$-coordinates that are the same, this means the slope is vertical. When slopes are vertical, that means the slope is infinity.

Anytime you see the $\displaystyle y$-coordinates the same, that means the slope is just a horizontal line. When slopes are horizontal lines, the slope is $\displaystyle 0$.

The equation of a slope is $\displaystyle y=mx+b$. $\displaystyle m$ is the slope while $\displaystyle b$ is the $\displaystyle y-$intercept. So, $\displaystyle m$ in this case is $\displaystyle 4$. The slope value will always be the coefficient of $\displaystyle x$.

The equation of a slope is $\displaystyle y=mx+b$. $\displaystyle m$ is the slope while $\displaystyle b$ is the $\displaystyle y-$intercept. So, $\displaystyle m$ in this case is $\displaystyle -6$. The slope value will always be the coefficient of $\displaystyle x$.

The equation of a slope is $\displaystyle y=mx+b$. $\displaystyle m$ is the slope while $\displaystyle b$ is the $\displaystyle y-$intercept. We need to solve for $\displaystyle y$. 

$\displaystyle 3y+5x=10$ Subtract $\displaystyle 5x$ on both sides. 

$\displaystyle 3y=10-5x$ Divide $\displaystyle 3$ on both sides.

So, $\displaystyle m$ in this case is $\displaystyle -\frac{5}{3}$. The slope value will always be the coefficient of $\displaystyle x$.

The equation of a slope is $\displaystyle y=mx+b$. $\displaystyle m$ is the slope while $\displaystyle b$ is the $\displaystyle y-$intercept. We need to solve for $\displaystyle y$. 

$\displaystyle 12+5y=6x$ Subtract $\displaystyle 12$ on both sides. 

$\displaystyle 5y=6x-12$ Divide $\displaystyle 6$ on both sides.

So, $\displaystyle m$ in this case is $\displaystyle \frac{6}{5}$. The slope value will always be the coefficient of $\displaystyle x$.

The equation of a slope is $\displaystyle y=mx+b$. $\displaystyle m$ is the slope while $\displaystyle b$ is the $\displaystyle y-$intercept. So, $\displaystyle m$ in this case is $\displaystyle 1$. The slope value will always be the coefficient of $\displaystyle x$.

The equation of a slope is $\displaystyle y=mx+b$. $\displaystyle m$ is the slope while $\displaystyle b$ is the $\displaystyle y-$intercept. Problem is we don't have a $\displaystyle y$. This means the graph will be a vertical line with the line crossing through the $\displaystyle x-$axis at $\displaystyle 5$. Vertical slopes mean the slope is infinity.

The current equation is already in the slope intercept form.

The slope-intercept form is:

$\displaystyle y=mx+b$

The $\displaystyle m$ is the slope of the equation.

The answer is $\displaystyle 9$.