Step 2: Now the equation is in slope-intercept form (y = mx +b), we know m is the slope. Therefore, the slope of this line is -3/4.
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B is the y-intercept. Any line with the same slope (or same m value) will be parallel to the given line. The y-intercept can be any number, as long as the slope is the same. Therefore, the parallel line equation is y = -3/4x + b. (You can test this by choosing a couple different values for b and drawing the graphs. For example, try drawing y = -3/4 x + 6, y = -3/4 x + 7/4, and y = -3/4 x -2, and you will see that all three lines are parallel.).
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