Question

Write the equation of a line in point-slope form that passes through the points 1, -7 6, -4

Answer 1

`y = (3)/(5) x - (38)/(5)`

Explanation:

`y = mx + b`

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

`m = ( - 4 - - 7)/(6 - 1)`

`m = (3)/(5)`

substitute any coordinate pair into y= mx + b

I chose (1,-7)

`- 7 = (3)/(5) \: (1)+ b`

`b = - 7 - (3)/(5)`

`b = - (38)/(5)`

`y = (3)/(5) x - (38)/(5)`