How do you write the standard form of a line given (3, 4) and (–3, –8)?

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Answer 1 · 2018-03-05T21:49:14

#y=2x-2#

To find the equation of a line, first find the gradient.

#"grad"=(y_2-y_1)/(x_2-x_1)# for co-ordinates #(x_1, y_1)# and #(x_2, y_2)#

#"grad"=(-8-4)/(-3-3)#

#=(-12)/(-6)#

#=2#

The equation of a line, gradient m, through #(x_1, y_1)# has the formula:

#y-y_1=m(x-x_1)#

#y-4=2(x-3)#

#y-4=2x-6#

#y=2x-2#

graph{y=2x-2 [-12.165, 7.835, -11.24, -1.24]}