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What is the equation for the line that passes thru the points (2,-7) and (-2,4). Answer must be in point slope form.
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Since the post by @josgarithmetic is absurdist, I came to bring a correct solution.
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 = 2, = -7, = -2, = 4 into the basic formula
m = = = .
Next, find an equation of the line having the slope and passing through the given point (2,-7).
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 = , a = 2, b = -7, and you will get
y - (-7) = , or
y + 7 = .
It is the equation in the slope-point form, and it is your final ANSWER.
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See the lesson
- Equation for a straight line in a coordinate plane passing through two given points
in this site.