Question

Show that the line 4y = 5x-10 is perpendicular to the line 5y + 4x = 35 ​

Answer 1

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). .....(1)

5y + 4x = 35

5y + 4x = 35ory = (-4/5)x + 7. ......(2)

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.