Question

Write an equation of a line in slope intercept from given (6,4) (5,2)

Answer 1

y=2x-8

Explanation:

Slope-Intercept Form

y=mx+b where y and x are variables, m is the slope, and b is the y-intercept

1. Find slope using the slope formula
`(y_(2)-y_(1) )/(x_(2)-x_(1))`

`(2-4)/(5-6) =(-2)/(-1) =2`

You now have

y=2x+b

2. Plug in one of the given points into the equation and solve for b

y=2x+b

2=2(5)+b

2=10+b

-8=b

Final Answer:

y=2x-8