How do you write the equation in point-slope form of the line passing through (4, 0) and (2, 6)?

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Answer 1 · 2015-04-04T19:59:07

The Answer is : #=> y - 6 = -3(x - 2)# OR # y - 0 = -3(x - 4)#

The equation is of the form:

#y - y_0 = m(x - x_0)#

where #m# is the gradient and #(x_0, y_0)# is any point that lies on the line. So either of the points #(4, 0)# or #(2, 6)#

Step 1: Find the gradient, m

#m = (6 - 0)/(2 - 4) = -3#

Step 2: Write down the equation

#=> y - 6 = -3(x - 2)# taking #(2,6)#

or # y - 0 = -3(x - 4)# taking #(4,0)#

Note that Both equations are correct as they all boil down to : #y = -3x +12# {This is the slope-intercept form}