Is the line given by the equation parallel to the line that contains the points and
For the given lines to be parallel, they must have the same slope and different -intercepts. In other words, the lines must never intersect. We'll graph the lines to determine if they are parallel. Since the equation of the first line is written in slope-intercept form, we can see that Thus, to graph it, we will use the -intercept and the slope.
To draw the second line, we can plot and and connect them with a line.
From the graph of the second line, we can see that it's slope is and its -intercept is
For the given lines, it has been shown that Since and the lines are parallel.
Find the equation of a line which is parallel to and passes through