I need to write a linear equation which can pass through a point (4,3)

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tona6v · Accepted Answer

If we can write any linear equation passing through this point then we can use the point-slope formula.
The point-slope form of a linear equation is:

(y - y_{1}) = m (x - x_{1})

Where

(x_{1}, y_{1})

is a point on the line and m is the slope.
Because we are writing any line which passed through this equation we can pick any slope to substitute.
I will pick a slope of m=2
Substituting the slope I picked and the values from the point in the problem and substituting gives:
(y−3)=2(x−4)
Or, in slope intercept form:
y=2x−5
I could also pick a slope of 0 which after substituting gives:
(y−3)=0(x−4)
Or
y=3
We can also pick a slope of undefined in which case we have a vertical line going thru the point with the equation:
x=4
You can pick any slope you want and use this same process.

I need to write a linear equation which can pass through a point (4,3)

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