Question

Which of the following is the equation of a line perpendicular to the line y =

Answer 1

Answer:

y = $\frac{1}{10}$ x + $\frac{13}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 10x + 1 ← is in slope- intercept form

with slope m = - 10

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-10}$ = $\frac{1}{10}$, thus

y = $\frac{1}{10}$ x + c ← is the partial equation

To find c substitute (5, 7) into the partial equation

7 = $\frac{1}{2}$ + c ⇒ c = 7 - $\frac{1}{2}$ = $\frac{13}{2}$

y = $\frac{1}{10}$ x + $\frac{13}{2}$ ← equation of line