See picture, what is the equation of the function? Thanks a lot!
2 Answers
Explanation:
Write the equation,
Please observe that the slope
The slope,
Substituting
Therefore, the equation that is perpendicular and has the same y-intercept is:
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 "2x-9y-18=0" into this form"#
#"subtract "2x-18" from both sides"#
#rArr-9y=-2x+18#
#"divide all terms by "-9#
#rArry=2/9x-2larrcolor(blue)"in slope-intercept form"#
#"with slope m "=2/9" and y-intercept "=color(red)(-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/(2/9)=color(magenta)(-9/2)#
#"the required equation has "m=-9/2" and "b=-2#
#rArry=-9/2x-2larrcolor(red)"in slope-intercept form"#