Question

Choose the slope-intercept equation of the line that passes through the point shown and is perpendicular to the line shown.

y = -3/2x

y = 3/2x - 6

y = -2/3x - 5/3

y = 2/3x - 13/3

Answer 1

help please!

Answer 2

point is (2, -3) the line shown looks like y = 2/3x + 3 m = 2/3

the gradient of the perpendicular is -1/m

the perpendicular has a gradient of -3/2

then y = -3/2x + b

sub (2, -3) to find b

-3 =-3/2 *(2) + b

b = 0

the line perpendicular to the given line and passing through ( 2,-3) is

y = -3/2 x