2. A line goes through the points (4, 5) and (2, -6). Write the equation of the line in slope-intercept form. Show your work for full credit. (How did you go from those two points to having the equation in slope-intercept form? Or, how did you go form having the equation in point-slope form [above in #1] to slope- intercept form?). Do not draw graphs, I want you to complete this problem algebraically (Using numbers, variables, and/or symbols). Circle your answer. (4 points)

Respuesta :

Answer:

y = 5.5x - 17

Step-by-step explanation:

(4,5)(2,-6)

  • M = ∆y/∆x
  • -6-5/2-4
  • -11/-2 this is the gradient
  • chose any of the point then introduce another point
  • (4,5) (x,y) the gradient is -11/-2
  • M =∆y/∆x
  • y-5/x-4 = -11/-2
  • -2(y-5) = -11 ( x -4)
  • -2Y + 10 = -11x + 44
  • -2Y = -11x + 44 -10
  • -2Y = -11x + 34
  • divide the while equation by -2
  • y = 5.5x + - 17
  • y= 5.5x - 17