What is the equation of the line in slope-intercept form that passes through the point (–2, 4) and is perpendicular to the line y = –2x + 4?

1 Answer
Sep 30, 2017

Answer:

#y=1/2x+5#

Explanation:

#"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#

#"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=-2x+4" is in this form"#

#rArrm=-2" and "m_(color(red)"perpendicular")=-1/(-2)=1/2#

#rArry=1/2x+blarr" partial equation"#

#"to find b substitute "(-2,4)" into the"#
#"partial equation"#

#4=-1+brArrb=4+1=5#

#rArry=1/2x+5larrcolor(red)" in slope-intercept form"#