Write an equation of a line parallel to y = x -5 in slope-intercept form that passes through the point (-6, -1).

Question

y= x + 3

y= x − 6

y= −3x − 1

y= 3x + 6

Answer 1

Line in Slope intercept form:

  

  Y = mx +b

 

 L1:given

 

    Y = X - 5

 

 L2 : find, parallel to L1

 

  Y =  X + b

 

L2 passes through( - 6 , -1)

 

then:  -1 = - 6 +b

 

           b = 5

 

  L1: Y = X + 5  

Answer 2

Hi Christina,

 

y=x-5

 

the slope,m=1

 

The other line is parallel to y=x-5

 

so the slope will be same

 

It passes through the point (-6,-1)

 

y-(-1)=m(x-(-6))    (using point slope form)

 

y+1=1(x+6)    (m=1)

 

y=x+6-1

 

y=x+5

 

which is the slope intercept form y=mx+b