SOLUTION: Find the x-and y-intercepts of the line that passes through the given points. (7,5),(4,1)

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Question 394813: Find the x-and y-intercepts of the line that passes through the given points.
(7,5),(4,1)
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the x-and y-intercepts of the line that passes through the given points.
(7,5),(4,1)
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slope: (5-1)/(7-4) = 4/3
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Form: y = mx + b
You know y = 1 when x = 4 and m = 4/3
-----------------------
1 = (4/3)4+b
b = 1-(16/3)
---
b = -13/3
-----------------
Equation:
y = (4/3)x-(13/3)
=====================
Cheers,
Stan H.
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

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) = (7, 5) and (x2, y2) = (4, 1).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(1.33333333333333)x + (-4.33333333333333)

Your graph:





equation of the line is:


when ,
so, is (0, -4.3)

when ,

is (3.3,0)

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