The equation of line v is y=9x+1. Line w is perpendicular to line v and passes through (3,−2). What is the equation of line w?Write the equation in slope-intercept form.
Q. The equation of line v is y=9x+1. Line w is perpendicular to line v and passes through (3,−2). What is the equation of line w?Write the equation in slope-intercept form.
Perpendicular Lines Slopes: Line w is perpendicular to line v.\ Are their slopes the same or opposite reciprocals?\ Slopes of perpendicular lines are opposite reciprocals.
Equation of Line v: Equation of line v: y=9x+1Find the slope of line v.Compare y=9x+1 with y=mx+b.m=9Slope of line v: 9
Slope of Line w: Line w is perpendicular to v.Slope of line v: 9Find the slope of line w.Opposite reciprocal of 9 is −91.Slope of line w: −91
Finding Y-Intercept: For line w: Slope (m): −91Point: (3,−2)Plug these values in y=mx+b and find the y-intercept.−2=−91(3)+b−2=−31+b−2+31=b−36+31=b−35=b
Equation of Line w: For line w: Slope m: −91y-intercept b: −35What is the equation of the line w in slope-intercept form?Substitute −91 for m and −35 for b in y=mx+b.y=−91x−35
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