Question 1106608: Find the equation of a line passing through points A(1,3) AND B(3,7).
Answer by ikleyn(52803)   (Show Source):
You can put this solution on YOUR website! .
Find the equation of a line passing through points A(1,3) AND B(3,7).
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First, calculate the slope.
The formula for the slope of a straight line passing through two given points ( , ) and ( , ) is
m =  .
Substitute the given data = 1, = 3, = 3, = 7 into the basic formula
m =  =  = 2.
Next, find an equation of the line having the slope 2 and passing through the given point A = (1,3).
An equation of a straight line in a coordinate plane which has the slope m and passes through the given point P = (a,b) is
y - b = m*(x-a).
Substitute here m = 2, a = 2, b = 3, and you will get
y - 3 = 2*(x-1).
It is the equation in the slope-point form.
If you want to have it in the slope-intercept form, transform it in this way
y = 2x - 2 + 3, or
y = 2x + 1.
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See the lesson
- Equation for a straight line in a coordinate plane passing through two given points
in this site.
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