Question

Write the equation of the line that passes through the points (2,2) and (3,4)

Answer 1

9514 1404 393

Answer:

  y -2 = 2(x -2)

Step-by-step explanation:

The slope of the line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (4 -2)/(3 -2) = 2/1 = 2

The point-slope form of the equation for the line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For the first point and the slope we found, the equation is ...

  y -2 = 2(x -2)

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You can rearrange this to any form you may like.

  y -2 = 2x -4 . . . eliminate parentheses

  y = 2x -2 . . . . . slope-intercept form

  2x -y = 2 . . . . . standard form