Question

Ite the equation of a line perpendicular to 9x - 4y= -3 that passes through the point (-9,3).

me equation of the line is
implify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression)

Answer 1

`y=(-4)/(9)x-1`

Explanation:

We need to rearrange the equation into a slope-intercept form:

9x - 4y = -3

4y = 9x +3

y = (9/4)x + 3/4 --> The slope is 9/4

Then we need to convert the given slope into a perpendicular slope. Which is basically investing the number and multiplying it by negative 1.

9/4 --> - (4/9)

Now we can use this formula: (y - y1) = Slope(x - x1)

The Y1 = 3 and the x1 = -9 are the point passed through... Now we just plug in the numbers:

(y - y1) = Slope(x - x1)

(y - 3) = -(4/9)(x + 9)

(y - 3) = -(4/9)(x) - 4

y = -(4/9)x - 1 --> Your slope-intercept form