How do you find the slope that is perpendicular to the line #7x+2y=3#?

2 Answers
Apr 8, 2018

Answer:

#color(brown)("Slope f the perpendicular line "color(indigo)(m_1 = -(1 / m) = 2/7#

Explanation:

#7x + 2y = 3#

Standard form of slope intercept equation is #y = mx + c# where m is the slope.

#2y = -7x + 3#

#y = -(7/2)x + 3/2#

Slope of the given line # m = -(7/2)#

Slope f the perpendicular line #m_1 = -(1 / m) = -(1 / (-7/2)) = 2/7#

Apr 8, 2018

Answer:

#"perpendicular slope "=2/7#

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 "7x+2y=3" into this form"#

#"subtract 7x from both sides"#

#cancel(7x)cancel(-7x)+2y=-7x+3#

#rArr2y=-7x+3#

#"divide all terms by 2"#

#rArry=-7/2x+3/2larrcolor(red)"in slope-intercept form"#

#"with slope m "=-7/2#

#"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/(-7/2)=2/7#