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(20849)   (Show Source):
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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:
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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:
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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:
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