Question

Write the equation of the line perpendicular to 2x - 3y = 1 that passes through the point (3,-5) in slope-intercept form and in standard form.

Answer 1

Answer:

slope intercept form: 1/2x+3/2yx+16

Step-by-step explanation:

Answer 2

Answer:

y = -3/2x - 1

Step-by-step explanation:

this line 2x-3y=9 can be rewritten as

y = 2/3x - 3

The slope of this line is 2/3

If two lines are perpendicular, then their slopes satisfy condition

m1 . m2 = -1

Thus, the slope of the needed line is

m = -3/2

The equation of the line passing through the point (2,-4) and perpendicular to the line 2x-3y=9 is

y + 4 = 3/2 (x - 2)

y = -3/2 x - 1