Respuesta :

texaschic101
(2,5)(6,9)
slope = (9 - 5) / (6 - 2) = 4/4 = 1

y = mx + b
slope(m) = 1
use either of ur sets of points....(2,5)...x = 2 and y = 5
now we sub and find b, the y int
5 = 1(2) + b
5 = 2 + b
5 - 2 = b
3 = b

so ur equation is : y = x + 3
MrRoyal

The equation of the line is y = x + 3

How to determine the equation?

The given parameters are:

(x1, y1) = (2, 5)

(x2, y2) = (6, 9)

Start by calculating the slope (m) using:

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

So, we have:

m = (9 - 5)/(6 - 2)

Evaluate

m = 1

The equation is then calculated as:

y = m(x - x1) + y1

So, we have:

y = 1(x - 2) + 5

Expand

y = x - 2 + 5

Evaluate the like terms

y = x + 3

Hence, the equation of the line is y = x + 3

Read more about linear equations at:

https://brainly.com/question/14323743

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