Question

Write the equation of a line perpendicular to the given line that passes through the point (4, 1) . Be sure to Show all work on a piece of notebook paper as one of the questions later in this test asks you to submit a picture of your work. Be sure to include the problem number next to your work! y = 4/9 * x + 1

Equation or perpendicular ?
Don’t forget to include y=

Answer 1

• y = -9/4x + 10

Explanation:

Given line:

• y = 4/9x + 1

Perpendicular line has opposite reciprocal slope:

• y = -9/4x + b

Use the coordinates of the point (4, 1) to find b:

• 1 = -9/4(4) + b
• 1 = -9 + b
• b = 1 + 9
• b = 10

The line is:

• y = -9/4x + 10