Question

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

Answer 1

Answer:

y=2x-8

Step-by-step 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 $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

$\frac{2-4}{5-6} =\frac{-2}{-1} =2$

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