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

Answer:
y = 3x-5
Step-by-step 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