Question

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

Answer 1

`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.

Answer 2

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.