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