Question

Write the equation of the line that passes through the given point and is perpendicular to the given line. (0, 3); 3x − 4y = −8

Answer 1

Answer:

  y = -4/3x + 3

Step-by-step explanation:

3x − 4y = −8

-4y = -3x - 8

y = 3/4x + 2

slope m = 3/4

perpendicular version of it is opposite inverse: -4/3

y-intercept through point (0, 3):

y = mx + b

3 = -4/3(0) + b

b = 3

Use the perpendicular slope with b from above to form new perpendicular equation of line:

y = mx + b

y = -4/3x + 3