How do you find a standard form equation for the line with A(6, -1) and B (-3, 7)?

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Answer 1 · 2016-05-14T13:43:19

# 9y + 8x = 39 #

First you find the gradient of the line.

This is # (y2 - y1 )/(x2 - x1)#

So # (7 - -1 )/(-3 - 6)# = # (8 )/(-9)# is the gradient.

Next, you use the equation

# y - y1 = m(x - x1 ) # where m is the gradient.

# y - 7 = ##(8 )/(-9)# #*(x - -3) #

# y-7 = -8/9 x -8/3 #

The standard form equation of a line is # ax +by = c #

Therefore # y + 8/9 x = 13/3 #

or # 9y + 8x = 39 #