Is the straight line that intersects the points and parallel with the line In order for the lines to be parallel, they must have the same slope, -value. The straight line has an -value of The unknown line's slope can be found by using the given points to calculate the slope.
The lines need to have the same slopes, -values, . As a result, the line we are looking for has the form:
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In order for the lines to be parallel, they need to have "different" -values, otherwise they become the exact same line. We calculate the y-intercept, value, by using the slope, , as well as a point's and values, that we know lie on the line. In the calculations below we use the given point in the equation of a straight line.
The line that intersects these points has a y-intercept, value, of which gives the equation. This line and have the same slope, , but different y-intercepts, , and are therefore parallel.