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Equivalent lines in slope-intercept and standard form are:

y = -1/2x + 6 (slope-intercept form)

1/2x + y = 6 (standard form)

What is the Slope-intercept and Standard Form of a Line?

  • Slope-intercept form equation of a line is expressed as, y = mx + b. Where, b is the y-intercept, m is the slope.
  • In standard form, a line is expressed as, Ax + By = C, where x and y are the variables, C is the constant.

Equation of a line expressed in slope-intercept form

Let,

m = -1/2

b = 6

equation in y = -1/2x + 6 is: y = -1/2x + 6

Equation of a line Expressed in Standard Form

Rewrite y = -1/2x + 6 in standard form.

y = -1/2x + 6

Add -1/2x to both sides of the equation

1/2x + y = 6

In summary, equivalent lines in slope-intercept and standard form are:

y = -1/2x + 6 (slope-intercept form)

1/2x + y = 6 (standard form)

Learn more about slope-intercept form on:

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