| 
 
 
| Question 714865:  Find an equation of the line containing the given pair of points.
 1. (2, 5) and (4,7)
 2. (0, -5) and (3,0)
 3. (-4, -7) and (-2,-1)
 Answer by MathLover1(20850)
      (Show Source): 
You can put this solution on YOUR website! 1. (2, 5) and (4,7)
 
 
 
 | Solved by pluggable solver: FIND EQUATION of straight line given 2 points |  | hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (2, 5) and (x2, y2) = (4, 7). Slope a is
  . Intercept is found from equation
  , or  . From that, intercept b is
  , or  . 
 y=(1)x + (3)
 
 Your graph:
 
 
  
 |  
 
 2. (0, -5) and (3,0)
 
 
 | Solved by pluggable solver: FIND EQUATION of straight line given 2 points |  | hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (0, -5) and (x2, y2) = (3, 0). Slope a is
  . Intercept is found from equation
  , or  . From that, intercept b is
  , or  . 
 y=(1.66666666666667)x + (-5)
 
 Your graph:
 
 
  
 |  
 
 3. (-4, -7) and (-2,-1)
 
 
 | Solved by pluggable solver: FIND EQUATION of straight line given 2 points |  | hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-4, -7) and (x2, y2) = (-2, -1). Slope a is
  . Intercept is found from equation
  , or  . From that, intercept b is
  , or  . 
 y=(3)x + (5)
 
 Your graph:
 
 
  
 |  
 
 | 
  
 | 
 |