Write an equation in slope–intercept form for the line that passes through (–2, 5) and is perpendicular to y=−3x+7y=−3x+7 .

Question

I dont know the slope intercept for the line. 

Answer 1

line is perpendicular to y=−3x+7 

 

so slope of line y= -3x+7 is -3/1

so slope of perpendicular line is = 1/3

 

line passes through (-2,5)

 

y = mx+b

5=1/3(-2) +b

 

5=-2/3 +b

 

b=17/3

 

y= 1/3x +17/3