Write the equation of a line that is perpendicular to y= -2/7 x+9 and that passes through the point (4,-6)

y = x - 20

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 = - x + 9 ← is in slope- intercept form

with slope m = -

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

= - = - = , thus

y = x + c ← is the partial equation

To find c substitute (4, - 6) into the partial equation

- 6 = 14 + c ⇒ c = - 6 - 14 = - 20

y = x - 20 ← equation of perpendicular line

the answer is c: divide the arc's degree measure by 360°, then multiply by the circumference of the circle.