Write an equation in slope intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation

Question

(-2,2);y=1/2 x-3

Answer 1

Hello, Iris,

    Note:  slope-intercept form:  y=mx +b     m=slope  and b= y-intercept, where line crosses y-axis

Perpendicular to another line means that one line will cross another line making a 90 degree angle

 

1.  Find the slope of the perpendicular line:  Look at the slope of the line given    m= (1/2)

                                                                                negative reciprocal  m=(-2/1)

 

2.  Write equation of the perpendicular line in slope-intercept form:  y= -2x +b.

 

                                         (x,y)

3.  Now use the given point (-2,2) to find the "b" value.    2=-2(-2) +b.   So,   2= 4 +b

 

 

4.  Just subtract 4 from both sides, and you'll have the value of "b."

 

 

5.  Use y=mx +b, and substitute values for "m" and "b," and you are done!

 

I hope that this example helps.  I'll let you finish this one on your own.    Susan C.