Question

What is the equation of the line is perpendicular to the given line and passes through the point (3,4)?

Answer 1

y = 3x-5

Explanation:

The slope of the line on the graph is -1/3. Perpendicular lines have slopes which are negative reciprocals of each other. This makes the slope of the new line 3.

Substitute the values m=3 and the point (3,4) into point slope form and simplify.

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x -9 + 4

y = 3x - 5