"the equation of a line in "color(blue)"slope-intercept form"the equation of a line in slope-intercept form is.
•color(white)(x)y=mx+b∙xy=mx+b
"where m is the slope and b the y-intercept"where m is the slope and b the y-intercept
"rearrange "1/3x+2/3y=2" into this form"rearrange 13x+23y=2 into this form
"multiply all terms by 3"multiply all terms by 3
x+2y=6x+2y=6
"subtract "x" from both sides and divide by 2"subtract x from both sides and divide by 2
y=-1/2x+3larrcolor(blue)"in slope-intercept form"y=−12x+3←in slope-intercept form
"with slope "=-1/2with slope =−12
"the slope of perpendicular to it is"the slope of perpendicular to it is
•color(white)(x)m_(color(red)"perpendicular")=-1/m=-1/(-1/2)=2∙xmperpendicular=−1m=−1−12=2
