7. Rewrite in slope-intercept form:

To rewrite the equation in slope-intercept form (which is ), start by isolating . First, add to both sides:

Next, divide every term by 2:

Now you have the slope-intercept form, where the slope is 1 and the y-intercept is 8.

Transforming equations into slope-intercept form can make it easier to graph linear functions. In this case, the slope of 1 means for every unit you move right on the x-axis, you move up 1 unit on the y-axis, indicating a diagonal line rising from left to right.

Many students commonly make the mistake of forgetting to divide all terms when isolating , which can lead to incorrect values for slope and intercept. Double-check your arithmetic and remember that every term must be treated equally to preserve the balance of the equation!