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

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

x=3

Step-by-step explanation:

4(x+1) -2x = 5-x

divid 4 by whats in parentheses

4x+4 -2x =5-x

combind 4x and -2x

2x+4=5-x

combind 2x and x

3x+4=5

subtract 4 from 5

3x=1

3÷3 and 1÷3

x=3