Question

Write in standard form an equation for the line with slope 1/3 through
the point (2,-2).

Answer 1

x - 3y = 8.

Explanation:

Use the point-slope form of the equation of a line:

y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.

So substituting the given values:

y - (-2) = 1/3(x - 2)

y + 2 = 1/3x - 2/3 Multiply through by 3:

3y + 6 = x - 2

x - 3y = 6 + 2

x - 3y = 8 <---- Standard Form.