How do you write the equation of a line given (-5,3) (5,-1)?

2 Answers
Mar 18, 2018

#y=2/5+1#

Explanation:

This answer is only correct when you graph the points. So use this if you're expected to use that method.

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Mar 18, 2018

the equation is #5x+2y-5#=0

Explanation:

We know, the equation of a line if 2 points#{(x_1,y_1) and(x_2,y_2)}# are given then the equation will be
#frac{y-y_1}(x-x_1)=frac{y_2-y_1}(x_2-x_1)#
Thus,plugging in the values,we have,
#frac{y-(-5)}(x-3)=frac{5-(-5)}(-1-3)#
Or, #frac{y+10}(x-3)=-frac{10}4#
Cross-multiplying,we get,
#4y-20=10x-30#
Or, #10x+4y-10#=0
Or,#5x+2y-5#=0 which is the required equation.