How do you write the point-slope form of an equation of the line that passes through the given point (6,2), m=1/2?

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Answer 1 · 2016-07-16T22:38:50

#y = 1/2x -1#

There is a nifty formula for the equation of a line which applies in just such a case where we are given the slope and one point.

Using this formula requires only ONE step with substitution and some easy simplifying. Works like a dream...

#y-y_1 = m(x-x_1)" m = slope and "(x_1,y_1)" is a point"#

Substitute the given values and simplify

#y - 2 = 1/2(x -6)#

#y = 1/2 x -3 +2#

#y = 1/2x -1#