Question

Graph the line that contains the point (-2,6) and has a slope of -1/3

Answer 1

`y = - (1)/(3) x - (20)/(3)`

Explanation:

• Use the following equation
• 
  `y - y_(1) = m(x - x_(1))`
• your x1 and y1 are from the point you're given, so the ( -2 , 6 ) will be x1 = -2 and y1 = 6
• m is the slope, so m = -1/3
• Then we just substitute into the equation
• so
• 
  `y - (6) = - (1)/(3) ( x - ( - 2)) \\ y - 6 = - (1)/( 3) (x + 2) \\ y - 6 = - (1)/(3) x - (2)/(3) \\ y - 6 + (6) = - (1)/(3) x - (2)/(3) + 6 \\ y = - (1)/(3) x - (20)/(3)`
• So that's our equation

Answer 2

Answer : Graph the line that contains the point (-2,6) and has a slope of -1/3