Solve step by step: What is the equation of a line that is perpendicular to the line y=2x+1 and passes through the point (4,6)?

y = - x + 8

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 = 2x + 1 ← is in slope- intercept form

with slope m = 2

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

= - = - , then

y = - x + c ← is the partial equation

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

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = - x + 8 ← equation of line

maybe i can

you just switch the numbers basically so it would be 3/17