Determine whether the graphs of the given pair of lines are parallel. \( \begin{array}{l}\begin{array}{l}\text { HW Score: } 435 \% \\ y-2=y\end{array} \\ \text { Note that two nonvertical lines are parallel if they have the same slope(s) and different } y \text {-intercept(s). }\end{array} \) To find the slopes of both lines, the equations of the lines need to be rewritten in what form? slope-intercept form standard form

To determine whether two nonvertical lines are parallel, you need to compare their slopes. The most straightforward way to identify the slope of a line is by rewriting its equation in **slope-intercept form**. **Slope-Intercept Form:** \[ y = mx + b \] - **\( m \)** represents the slope of the line. - **\( b \)** represents the y-intercept. By rewriting both equations in this form, you can easily identify and compare the slopes (\( m \)) of the two lines. If both lines have the same slope but different y-intercepts (\( b \)), they are parallel. **Example:** Suppose you have the following two equations: 1. \( y - 2 = 3x \) Rewrite in slope-intercept form: \( y = 3x + 2 \) Here, the slope \( m = 3 \). 2. \( y = 3x + 5 \) This equation is already in slope-intercept form. Here, the slope \( m = 3 \). Since both lines have the same slope (\( 3 \)) but different y-intercepts (\( 2 \) and \( 5 \)), they are parallel. **Conclusion:** To find and compare the slopes of both lines effectively, **rewrite the equations in slope-intercept form**. **Answer:** They should be rewritten in **slope-intercept form** to determine the slopes.