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Show that the line 4y = 5x-10 is perpendicular to the line 5y + 4x = 35
Will Bradley
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Dec 12, 2022
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21
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Show that the line 4y = 5x-10 is perpendicular to the line 5y + 4x = 35
Mathematics
high-school
Will Bradley
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Dec 12, 2022
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Will Bradley
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Explanation:
concept :
concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.
concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.
concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:
concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are
concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are4y = 5x-10
concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are4y = 5x-10or, y = (5/4)x(5/2).
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5y + 4x = 35
5y + 4x = 35ory = (-4/5)x + 7.
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Let m and n be the slope of equations i and ii, respectively.
Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4
Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5
Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5therefore, mx n = -1
Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5therefore, mx n = -1Hence, the lines are perpendicular.
KangarooChris
answered
Dec 16, 2022
by
KangarooChris
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