(5,7),(6,8)

Question

write an equation in point-slope form for the line through the given points or through the given point with the given slope

Answer 1

You first need to find slope from the information given:

Slope is defined as rise / run:

Which is: (y₂-y₁)/(x₂-x₁)

So:

(8 - 7)/(6 - 5)

1/1 = 1

Slope is 1:

point-slope form is: y - y₁ = m(x - x₁)

y - 7 = (x - 5) ; 1 is implied slope

 

To further simplify:

 

y = x + 2