Question

What is the equation of the line that is perpendicular to the

Answer 1

Answer:

Option (4). y = 3x - 5

Step-by-step explanation:

Given question is incomplete; here is the complete question.

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

y = –1/3x + 5

y = –1/3x + 3

y = 3x + 2

y = 3x − 5

Line given in the graph passes through the points (-3, 2) and (0, 1).

Slope of the given line = $\frac{y_{2}-y_1}{x_2-x_1}$

                                  m = $\frac{2-1}{-3-0}$

                                  m = $-\frac{1}{3}$

Let the equation of a line perpendicular to this line is,

y - y' = m'(x - x') [Given line passes through (x', y')]

By the property of perpendicular lines,

m × m' = -1

($-\frac{1}{3}$) × m' = -1

m' = 3

Equation of the perpendicular line will be,

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x - 5

Option (4) will be the answer.