Line t has an equation of y=10x−8. Line u is perpendicular to line t and passes through (−10,−6). What is the equation of line u?Write the equation in slope-intercept form.
Q. Line t has an equation of y=10x−8. Line u is perpendicular to line t and passes through (−10,−6). What is the equation of line u?Write the equation in slope-intercept form.
Perpendicular Lines Slopes: Line u is perpendicular to line t.Are their slopes the same or opposite reciprocals?Slopes of perpendicular lines are opposite reciprocals.
Equation of Line t: Equation of line t: y=10x−8Find the slope of line t.Compare y=10x−8 with y=mx+b.m=10Slope of line t: 10
Slope of Line u: Line u is perpendicular to line t.Slope of line t: 10Find the slope of line u.Opposite reciprocal of 10 is −101.Slope of line u: −101
Finding Y-Intercept: For line u: Slope (m): −101Point: (−10,−6)Plug these values in y=mx+b and find the y-intercept.−6=−101(−10)+b−6=1+b−7=b
Equation of Line u: For line u: Slope m: −101y-intercept b: −7What is the equation of the line u in slope-intercept form?Substitute −101 for m and −7 for b in y=mx+b.y=−101x−7
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