y=2x-1;(2,-2)

Question

write the equation of a line perpendicular to the given line, but passing through the given point. with a graph

Answer 1

For this problem. You have to use point-slope form which is (y-y1)=m(x-x1)

where m is slope and x1 and y1 are the coordinates that the line passes through.

 

You are told that the slope is perpendicular to the first line with slope of 2. A perpendicular line will have a slope that is the opposite sign and reciprocal, so that is -1/2.

 

Now we can plug in everything as

 

y-(-2)=-1/2(x-2)

 

but ut you probably should arrange it into slope-intercept form so step by step:

 

y+2=-1/2x + 1

 

y= -1/2x -2