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
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"#