Write the formula for the slope.

$\displaystyle m= \frac{y_2-y_1}{x_2-x_1}$

Substitute the points.

$\displaystyle m= \frac{9-(-1)}{-9-5} = \frac{10}{-14}$

Reduce the fraction.

$\displaystyle m= -\frac{5}{7}$

The slope is $\displaystyle -\frac{5}{7}$.

To find the slope of a line, we will write it in slope-intercept form

$\displaystyle y = mx + b$

where m is the slope.  Given the line

$\displaystyle 18y = -72x + 36$

we will need to solve for y, or get y to stand alone.  To do that, we will divide each term by 18.  So,

$\displaystyle \frac{18y}{18} = \frac{-72x}{18} + \frac{36}{18}$

$\displaystyle y = -4x + 2$

Using the information given above, we can see that the slope is -4.  

To find the slope of the line, we will need to re-format the equation back to slope-intercept form, $\displaystyle y=mx+b$.

Add $\displaystyle y$ on both sides.

$\displaystyle 3x-y+6+y=3x+y$

$\displaystyle 3x+6=3x+y$

Subtract $\displaystyle 3x$ on both sides.

$\displaystyle 3x+6-3x=3x+y-3x$

Simplify both sides.

$\displaystyle y=6$

This is a horizontal line and the value of $\displaystyle m$ is zero.

The answer of the slope is:  $\displaystyle 0$

Rewrite the equation in slope-intercept form $\displaystyle y = mx+b$:

$\displaystyle 3x+2= 6y$

$\displaystyle 6y = 3x+2$

$\displaystyle 6y \div 6 = (3x+2) \div 6$

$\displaystyle y = \frac{3}{6} x+ \frac{2}{6}$

$\displaystyle y = \frac{1}{2} x+ \frac{1}{3}$

The coefficient of $\displaystyle x$, which is $\displaystyle \frac{1}{2}$, is the slope of the line.

Rewrite the equation in slope-intercept form $\displaystyle y = mx+b$:

$\displaystyle 8y = 3x + 7$

$\displaystyle 8y \div 8 = (3x + 7) \div 8$

$\displaystyle y = \frac{3}{8}x+ \frac{7}{8}$

The coefficient of $\displaystyle x$, which is $\displaystyle \frac{3}{8}$, is the slope of the line.

Rewrite the equation in slope-intercept form $\displaystyle y = mx+b$:

$\displaystyle 7y+ 4x = 29$

$\displaystyle 7y+ 4x - 4x = 29 - 4x$

$\displaystyle 7y = -4x+ 29$

$\displaystyle 7y \div 7 = (-4x+ 29) \div 7$

$\displaystyle y = -\frac{4}{7}x + \frac{29}{7}$

The coefficient of $\displaystyle x$, which is $\displaystyle -\frac{4}{7}$, is the slope of the line.

Rewrite the equation in slope-intercept form $\displaystyle y = mx+b$:

$\displaystyle 9y - 4x = 30$

$\displaystyle 9y - 4x + 4x = 30+ 4x$

$\displaystyle 9y = 4x+ 30$

$\displaystyle 9y \div 9 = (4x+ 30) \div 9$

$\displaystyle y = \frac{4}{9} x + \frac{30}{9}$

$\displaystyle y = \frac{4}{9} x + \frac{10}{3}$

The coefficient of $\displaystyle x$, which is $\displaystyle \frac{4}{9}$, is the slope.

Rewrite the equation in slope-intercept form $\displaystyle y = mx+b$:

$\displaystyle x= 5y - 17$

$\displaystyle 5y - 17 = x$

$\displaystyle 5y - 17 + 17 = x + 17$

$\displaystyle 5y = x + 17$

$\displaystyle 5y \div 5 = (x + 17) \div 5$

$\displaystyle y= \frac{1}{5}x + \frac{17 }{5}$

The coefficient of $\displaystyle x$, which is $\displaystyle \frac{1}{5}$, is the slope.

Rewrite the equation in slope-intercept form $\displaystyle y = mx+b$:

$\displaystyle 7x + 6y = 33$

$\displaystyle 7x + 6y - 7x = 33- 7x$

$\displaystyle 6y = -7x + 33$

$\displaystyle 6y \div 6 =( -7x + 33) \div 6$

$\displaystyle y = -\frac{7}{6}x + \frac{33}{6}$

The coefficient of $\displaystyle x$, which is $\displaystyle -\frac{7}{6}$, is the slope.

In order to find the slope of this equation, we will need to put this in y-intercept form, $\displaystyle y=mx+b$.

Simplify the equation by distribution and combine like-terms.

$\displaystyle y=2(2x)+2(-3)+4x$

Simplify the parentheses.

$\displaystyle y=4x-6+4x$

Add like terms.

$\displaystyle y=8x-6$

The slope is $\displaystyle 8$.