# How do you find the slope given #x+9y=18#?

##### 2 Answers

See a solution process below:

#### Explanation:

This equation is in the Standard Linear Form. The standard form of a linear equation is:

Where, if at all possible,

The slope of an equation in standard form is:

Substituting gives a slope of:

#### Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"rearrange "x+9y=18" into this form"#

#"subtract x from both sides"#

#cancel(x)cancel(-x)+9y=-x+18#

#rArr9y=-x+18#

#"divide all terms by 9"#

#(cancel(9) y)/cancel(9)=-1/9x+2#

#rArry=-1/9x+2larrcolor(red)"in slope-intercept form"#

#rArr"slope m"=-1/9#