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How do you write an equation of a line given (4, 6) and (-7, -3)?

1 Answer

Jul 6, 2016

Calculate the gradient, substitute in a point on the line, and simplify.

Explanation:

To calculate the gradient, use the formula #m=(y_2-y_1)/(x_2-x_1)#:

#m=(-3-6)/(-7-4)=(-9)/-11=9/11#

Now, you can substitute this and one of the given points into the standard formula #y-y_1=m(x-x_1)#:

#y-6=9/11(x-4)#
#y=9/11(x-4)+6=(9x)/11-36/11+66/11=(9x)/11+30/11#
#y=(9x)/11+30/11#

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