SOLUTION: 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)

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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): 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:
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