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4-77.

Determine the slope and y‑intercept for each line. Homework Help ✎

There are many methods possible to accomplish this.

1) Slope and -intercept can be identified from the Slope-Intercept form of the equation.
This form is often written as where is the slope and is the -intercept.

2) Alternatively, you could calculate the -intercept (where ) and calculate any other point (by letting for instance) and then calculate the slope from those two coordinates.

  1. Solving for y will place this equation in Slope-Intercept Form.

  • This equation is written in Slope-Intercept form, but it has been rearranged.
    Its form is more like

  1. This equation will be easier to read if the fraction is separated into two terms.

  1. See the hint for part (a).