Question

Write the equation of the lime perpendicular to 8x-9y=1 that passes through point (3,-4) in slope imtercept form and in standard form

Answer 1

8x - 9y = 1

Solve for y:

-9y = -8x + 1

y = 8/9 x - 1/9

The slope of the given line is 8/9, so the slope of the perpendicular is -9/8.

y = mx + b

y = -9/8 x + b

The perpendicular passes through (3, -4).

-4 = -9/8 * 3 + b

-4 = -27/8 + b

b = -32/8 + 27/8

b = -5/8

The equation in slope-intercept form is

y = -9/8 x - 5/8

Now we change the equation to standard form.

8y = -9x - 5

The equation in standard form is

9x + 8y = -5