Question

Please Help. Write an equation of the line that passes through (1,2) and is perpendicular to the line

that passes through y=-3x - 4

Answer 1

`y=(1)/(3)x+(5)/(3)`

Explanation:

• Slope of
  `y=-3x-4` is the m of the general equation
  `y=mx+b` which
  `-3`
• The slope a line perpendicular to this line is the number that if multiplied with -3 will give us -1 so that
  `(1)/(3)`
• With that slope and the point
  `(1,2)` use the formula
• 
  `y-y_1=m(x-x_1)\\y-(2)=(1)/(3) (x-(1))\\y-2=(1)/(3)x-(1)/(3)\\y=(1)/(3)x+(5)/(3)`