Line g has an equation of y=2x+1. Line h includes the point (−5,2) and is perpendicular to line g. What is the equation of line h?Write the equation in slope-intercept form.
Q. Line g has an equation of y=2x+1. Line h includes the point (−5,2) and is perpendicular to line g. What is the equation of line h?Write the equation in slope-intercept form.
Perpendicular Lines Slopes: Line h is perpendicular to line g.Are their slopes the same or opposite reciprocals?Slopes of perpendicular lines are opposite reciprocals.
Equation of Line g: Equation of line g: y=2x+1Find the slope of line g.Compare y=2x+1 with y=mx+b.m=2Slope of line g: 2
Slope of Line h: Line h is perpendicular to g.Slope of line g: 2Find the slope of line h.Opposite reciprocal of 2 is −21.Slope of line h: −21
Y-Intercept Calculation: For line h: Slope (m): −21Point: (−5,2)Plug these values in y=mx+b and find the y-intercept.2=−21(−5)+b2=25+b2−25=b24−25=b−21=b
Equation of Line h: For line h: Slope m: −21y-intercept b: −21What is the equation of the line h in slope-intercept form?Substitute −21 for m and −21 for b in y=mx+b. y = −21x−21
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