The question gave us a linear equation and a point (x,y) and asked us to find the slope (m) of the line parallel to that line. First we solved the linear equation to y=mx+b. So then, because the slope was 2/3, the slope of the parallel line was also 2/3. Slopes of parallel lines are the same.
The next step was to use either slope y-intercept form or point-slope form to find the linear equation of that parallel line with the x, y coordinate on it. We chose to use slope y-intercept form and substituted our x and y values, and our slope (m) to find out the y-intercept (b). So once we worked out what b was, we put our slope and y-intercept in slope y-intercept form (y=mx+b) and came to a correct end result.
Here is a visual representation of the quiz question we did today on graph paper.
This is a useful piece of information about all Standard Form Equations and will help you with a few questions in the parallel and perpendicular lines section in Accelerated Math.
After we completed the practice quiz question, we were given the rest of the class to work on Accelerated Math.
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