Question

Write an equation that represents the line. Use exact numbers.

Answer 1

The equation of the line passing through the points is y = x + 2

How to determine the equation?

The points are (-1, 1) and (4, 6).

The slope is calculated using:

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

So, we have:

m = (6 - 1)/(4 + 1)

Evaluate

m = 1

The equation of the line is then calculated as:

y = m(x -x1) + y1

This gives

y = 1 *(x + 1)  + 1

Evaluate

y = x + 2

Hence, the equation of the line passing through the points is y = x + 2

Read more about linear equations at:

brainly.com/question/14323743

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