Question

They gave me two points and asked me to find out an equation of the line that passes through the points.
The points are (5,-1) , (-5,5).

Answer 1

1. Find the slope.
2. Find the y intercept.

Answer 2

1. Slope equals \[ \frac{-1-5}{5-(-5)} = -\frac{3}{5} \]

Answer 3

2. y intercept equals 2

Answer 4

So the equation of the line is y=-3/5 x + 2

Answer 5

m=(y2-y1)/(x2-x1)



m=(5--1)/(-5-5)



m=(6)/(-5-5)



m=(6)/(-10)



m=-3/5



So the slope of the line that goes through the points is m=-3/5



Now let's use the point slope formula:



y-y1=m(x-x1)



y--1=(-3/5)(x-5)



y+1=(-3/5)(x-5)



y+1=(-3/5)x+(-3/5)(-5)



y+1=(-3/5)x+3



y=(-3/5)x+3-1



y=(-3/5)x+2



So the equation is \[\Large y=-\frac{3}{5}x+2\]

Answer 6

Thank you!