What is the slope of the line perpendicular to # y=-3/7x+4 #?

1 Answer
Jim G.
Feb 5, 2016

# slope = 7/3 #

Explanation:

If 2 lines are perpendicular to each other then the product of their gradients is -1 .

let the gradients of the 2 lines be #m_1 color(black)(" and ") m_2#

then # m_1 xx m_2 = -1 ............(*)#

the equation # y = -3/7 x + 4 #
is of the form y = mx + c where m represents the gradient and c , the y-intercept.

so # m_1 = -3/7 color(black)(" and require to find ") m_2#

using equation (*) : # -3/7 xx m_2 = -1 color(black)(" then ") m_2 =-1/(-3/7)#

slope of perpendicular is # -1 xx -7/3 = 7/3 #

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