Solution for Problem 2.3.2

  Find the equation of the line that contains the points (-5,3) and (-4,1)

Solve

Step

First find the slope using the slope formula

using the points (-5,3) and (-4,1)

y - y1 = m(x x1)

Now use point slope form

y3 = -2(x – (-5))

Use either point (-5, 3)

y – 3 = -2(x + 5)

Simplify

y – 3 = -2x – 10

Get x and y on the same side

2x+ y = -7 

Done

Check 

You can check each point

(-5, 3
2x + y = -7 

(-4, 1
2x + y = -7 

2(-5) + 3 = -7 

2(-4) + 1 = -7 

-10 + 3 = -7

-8 + 1 = -7

-7 =  -7

-7 =  -7