# How do you find the slope of the line parallel to and perpendicular to #y+3=3x+2#?

##### 3 Answers

#### Explanation:

convert to slope intercept form

So slope of this line

Slope of a parallel line:

Slope of a perpendicular line

#### Explanation:

#• " parallel lines have equal slopes"#

#"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"#

#y+3=3x+2" can be written as"#

#y=3x-1larrcolor(blue)"in slope-intercept form"#

#"with slope m "=3" and y-intercept "=-1#

#"thus a line parallel to it has slope "=3#

#"given a line with slope m then the slope of a line"#

#"perpendicular to it is"#

#•color(white)(x)m_(color(red)"perpendicular")=-1/m#

#rArrm_("perpendicular")=-1/3#

#"thus a line perpendicular to it has slope "=-1/3#

Parallel slope:

Perpendicular slope:

#### Explanation:

I'm assuming that you're actually asking two questions, so let's split them up: in general, given two lines with slopes

To find the slope of a line from its equation, you can write it in the form

In your case, you only need to subtract

so the slope is

This means that any line parallel to the given line will have slope