29 Jun, 2021 08:22 PM

Write the equation of the line that passes through the given point and is perpendicular?

to the given line. a. Write the equation in slope intercept form. b. Write the equation in the form Ax+By=C, where A,B, and C are integers and A>0 (8,-9);8x+3y=3 a. Write the equation in slope-intercept form. __ (Simplify your answer.Use integers or fractions for any numbers in the equation.)

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Answer
Answer
KY
29 Jun, 2021 08:23 PM

8x + 3y = 3

3y = -8x + 3

y = (-8/3)x + 1

Slope of this line is -8/3

Slope of line perpendicular to this line is 3/8

Using slope formula, we have:

(y + 9) / (x - 8) = 3/8

y + 9 = (3/8)(x - 8)

y + 9 = (3/8)x - 3

y = (3/8)x - 12, which is the equation in slope intercept form

Rearranging, we have:

8y = 3x - 96

3x - 8y = 96, which is the equation in Ax + By = C standard form.