Respuesta :

Answer: y= -2.5x+12

Step-by-step explanation:

Skills used:

  1. Finding slope from two points
  2. Finding y-intercept from two points or a slope
  3. Writing equations in slope-intercept form

Steps:

  1. Write out the two equations as points: (-4, 2) and (6, -3)
  2. Find the slope by using the equation: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], which gives us -5/2, or -2.5 (I'm going to use decimals)
  3. Write it into slope intercept form: y= -2.5x+b
  4. Substitute a point into y and x: 2= -2.5(4)+b
  5. Solve to get b= 12
  6. Put it into the full equation: y=-2.5x+12

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